That's quite a bit more weight than I'll be moving regularly. My equipment trailer is 9,500 with my tractor and a bucket. I only move it about 30 miles a year. My TT is 6,600 gross and tow it several thousand miles a year. My boat is 4,000 and tow it about 1,000 miles a year.
With those weights you're definitely in 3/4 ton / 1 ton territory. With my weights I feel like I'm on the cusp (mostly due to frontal and side area of the TT and miles towed) of either an F150 with the HD springs, axle, and coolers or a 3/4 ton or 1 ton SRW. Either option will probably last many years without wearing out. The heavier trucks have a better chance of making my 200,000 mile target without drive line issues. But the heavier trucks are also more expensive up front in my area. My first choice is an F350 SRW short bed diesel if I can find one slightly used at a good price (still need to be able to park in the underground garage at work and it would be tight with a long bed).