I only have experience with Chevs for towing. One of the GM twins will tow that trailer fine in my opinion.
You will need to get:
5.3 l engine
3.42 rear end
transmission cooler
integrated brake controller
You will also need a weight distribution hitch. I suggest getting a good on. I am very happy with our Equal-i-Zer.
On long steep grades the engine will rev. That is where the power is. Let it rip. 3000 and above is no problem.
e have towed our trailer which weighs about 6500 lb loaded coast to cost with a 2012 and a 2017 Chev Silverado 1500. Lat year we went about 9000 miles including across to San Diego.
Good luck
