You'll really need to know the total weight of the trailer(with living quarters installed) and load(all your equipment, horses, etc.). You'll then need to figure out how much weight it puts on your truck, and then compare that to the manufacturers axle ratings, and the towing capacity. My gut feeling is that's a lot of trailer for a 1 ton dually. You can search past threads for other discussions of trailer weights and sizes of trucks needed. There are a lot of knowledgeable and helpful people on this board.

Good luck! 

That's going to be borderline on a 3500.... Kinda depends on it it's all aluminum, steel frame aluminum skin, steel frame stainless steel skin, big holding tanks, how far back the trailer axles are loacted, your GCVWR, etc, etc, etc, .... A trailer the size you're talkin about will have a GVWR of 20000# to 240000#. What make trailer are you buying... Heres some pictures below of a 4 horse, 16' LQ, for those of you wondering how big this trailer really is....

I like this 3 axle trailer below... Spreads the weight out a bit and you got six wheels with brakes rather that 4 wheel brakes... If I had already ordered a 16', 4 horse trailer, I would be leaning toward a 450/4500 series truck, whether it be Ford, GM, or Dodge/Sterling.... If money were no object, step it up a notch to a International 4400-4700 or the Freightliner M2...

Just be sure and buy a more truck than you need, better to be over trucked rather than under trucked. Buy from a local reputable dealer, someone you can trust to repair your truck in an optimum time.... No matter if drive them or leave them parked in the yard, they'll all break down.

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Another 16', 4 horse LQ trailer below.

http://www.niekampscirclen.com/photogallery/Trailer1.jpg

 http://www.horsetrailerworld.com/home/trailerdetail.asp?ID=182895

 http://www.horsetrailerworld.com/home/trailerdetail.asp?ID=160733

There's 218 Sundowner, 4 horse, LQ trailers listed on HTW!!! That's pretty much one brand of 4 horse trailer, with different LQ sizes...

I pulled a 4 Star 16'sw 34' on the box (no slide) with our 2002 GMC crewcab Duramax/Allison  4wd dually a few times before I went to a Sportchassis. After that, I only pulled the trailer with the dually if I knew I was going someplace that I probably would need 4wd to get out. Although the dually pulled and stopped the trailer OK, I travel  about 40 - 50K miles a year with a trailer and didn't think there was a lot of extra of either if I found myself in an emergency situation. I bought my Sportchassis for safety  and not for the look at me. That 4 Star LQ did have elec/hydraulic brakes. But, since alot of big town commuters have no respect for a truck pulling a horse trailer and will test your " stopping and advoiding an accident" skills I did feel much more safer pulling with the Medium Duty truck. So the answer to your question is yes the 3500 can routinely handle it, but may let you down in a crisis situation. Plus, you should take in consideration how much mt driving you do.

That's a great answer. 

When I looked at the 3axle, 4H, 16' LQ trailer, I was reminded of the couple that bought the LQ trailer of their dreams. They lived on a dirt road and soon learned that the trailer was too long to get in and out of their driveway with a narrow road with ditches on either side.

gabz.... Do you remember watching this one?.... LOL!! TRAILER BRAKES FIRST! TRAILER BRAKES FIRST!

http://www.youtube.com/watch?v=M5qFqmayrWk

I got one, '07 Elite with 16'shortwall and 32' box.  One word for ya: Heeeaaaavvy.  I pulled it for six months with a one ton.  Two trips out west from east coast.  Probably a good 6-8kmiles.  It sucked.  No power, no stopping, fan clutch came on nonstop, engine nearly ran hot couple of times. 

I have gotta get my trailer weighed.  I am guessing about 12.5 to 13.5 empty.  Its built like fort knox.  Then being an elite on top of that.  I have hickory interior and that is the heaviest interior package you can get.  My cabinets are solid 3/4" hickory.  It sat the truck down on the helper springs against the rubber bumper bone dry.

Go add the tack we haul for every weekend, four horses, 100gal of water, 20gal gas, yep you gettin heavy now. 

Bottom line is yes you can pull it, its not fun, been there done that, but I ain say'n I wouldnt go back.  The 4400 pulls it fine and stops even better.  A 4500 cannot pull my trailer any better than the 3500 that I had.  Tried one.  Go bigger on the truck or smaller on the trailer.  Just my honest opinion.  I have now pulled the with the 4400 for 30k miles now and do not regret it at all.

Only thing I got against these three axle trailers is turning.  I have spun my around nearly dragging off the tires a couple of times.  Reccommended? No, but sometimes with a long trailer your gonna have to do it.  The three axle trailer gets into some kind of a bind when doing that.  Hay trailers we use you will pull off a tire or bend the axle doing this.  I finally have no more with three axles just for this reason.

10-4 on that.  I say same thing cause I am just at FL line.  Pull through FL quite often.  Still a 1 ton is too small to pull safely.  No, I dont drive 55 if I did it still wouldnt stop.  I ran by cars in two different situations trying to stop in GA.  Both have been on flat roads no hills involved.  Another one in Montgomery AL around airport when red light changed and cars in front of me stopped quickly.  I went through the light in the turning lane.  Pucker factor is rather high in these situations.  All three times I have been in town and not going fast at all.  They have all been under 45-50mph.  I cant imagine what it would be if it were 65 plus.  That is why we went bigger.

On another note if your getting larger trailer or one that size make certain you get the elec over hyd brakes.  It will make a difference vs the standard elec brakes.  Some say it doesnt and my trailer doesnt have them for that purpose (sales person talked me out of it).  Now after pulling one it will be well worth the extra 1200 to do so.  I have thought about adding them as an add on kit.

I have a smaller Elite than that and pull it with an old Volvo single axle truck. It's not so much the pulling as it is the stopping. Another thing my previous Dodge's didn't like too much were heavy cross winds.....not pleasant.

Threeman.....I second the three axle thing. I had a 40' cattle trailer with three axles and every now and then I would have to turn sharper than I wanted to and would look back in my side mirrors and just cringe!!! Fortunately I never bent an axle or popped tires off....but I will also say that I'll never have a three axle of anything.

Here in SA we have a lot of big rigs that have 3 axels and most of them the 3rd axel is a floating axel. This means that it can turn (not much, but they work). There are two types. One that has a centre pivot (but these would need a bit more space in the wheele well) and the others have some kind of rubber or ball joint configuration on the wheele side...

Some of the really long rigs can actually manually turn the last axel.

One of the above might be a good idea for manufacturers of 3 axel trailers...

What brand of trailer are we talking here?  Not that it matters in quality or anything just asking for a weight question?  I assume with 34 box it would be a sundowner?  If so they are heavy.  If it were something like a less expensive brand weight may not be such of an issue.  Normally on a 34' box elite, bloomer, 4star, etc do not use 3 axles unless requested.  That is why I am asking.  I have seen them make up to a 40' box with two axles.  Just asking not trying to start a war.

Also, another thing to think about.  If you need this truck to pull this trailer say about every weekend, then yes I would tell you to get the larger truck.  If you need a daily driver and you only pull once a month then keep the 1 ton.  Safe no, practical yes.  Just my opinion.