I have a 31 foot T.T. with an empty weight of about 4800 lbs, and a max of 7000. Since I never use the freshwater tanks and empty the grey/black tanks, even with regular and essentials sundries - towels, clothes, etc, I doubt it's gone much over 5400 lbs towing weight. The truck is a 2019 with a 3.92 rear end, and the 5.7 eTorque, (there are no modifications to the suspension) and the towing package. I've had no issues towing the trailer; the truck pulls it with no problem (other than the mileage dropping to 10 or 11 m.p.g.). Understandably, I live in Florida, so my towing has been on relatively flat terrain, with a couple of trips to Southern Georgia which doesn't have much in the way of high elevations either.
I would definitely recommend a weight distribution hitch and the anti-sway control, they're both short money in the overall picture of cost of the truck and trailer. Well worth it to keep the truck on an even keel and the trailer from doing lane-dancing in crosswinds. Trailer have high C.O.G. to begin with: the newer "light" and "ultra-light" models have much less weight for their length than older ones do
I agree with others: remember most TT tires are rated for 65 miles an hour. I've seen people go flying down the road with TT like Speed Racer and seen more than a couple in the breakdown lane with a blown trailer tire (or two) and parts of the trailer spread out on the surrounding roadway from when the tires blew out and took chunks out of the trailer with it. Especially here in Florida with the summer sun and heat turning the roadways into frying pans.