Try a one ton Ford without dual wheels. If you want no frills, try the manual transmission or get an older truck. Make sure you put all the air in the tires, like max em out.
OOPs. Didn’t realize it was 4 years old. 
I bow to the master.
PostScript: was in one of these monsters once. I was a B52 guy and this thing made our BUFFs look like stogies!
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Got lucky enough to see this:
a couple years ago when it was at my city’s airport. It’s even bigger than the c5. Which, I suppose. makes its “towing truck” even more impressive than the one above. 
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6 horses = approx 7,000 pounds plus 24’ trailer = approx 6,000 pounds.
I’m sure you already know that hauling a static weight like a tractor is one thing but moving weight like livestock is another.
I am sure that the correct diesel 3/4 ton would do the job but a ton would be better.
I personally have a F450 (technically the Fsuperduty) that has the 11K 10 lug rear axle and heavy straight front axle. It has a gas 460 engine and pulls heavy loads with ease. These trucks are pretty cheap ($2500-$4000). Mine was $3000 with 97K miles. I just saw on for sale last week for $2500 with only 80K miles. The big downside to these trucks is they guzzle gas (6-8 mpg) and you will have to get a commercial insurance policy (mine is about $300 per year via progressive). My thought is, I have a regular 1/2 ton that I use for my 2 horse trailer and majority of my truck needs and I break out the F450 only when I need to move hay, equipment, or cattle.
We have a few of those F Superduty trucks at work, and they are stout
They ride even harsher than the slightly newer F450 trucks, though
But it’s not surprising, considering it’s a very old design
One negative thing . . . they are considerably more difficult to work on, versus the F450