I've towed hundreds of trailers likely with about every sort of vehicle with a hitch..... And some without!
IMO the new GCs are pretty heavy vehicles and would be well suited for TTs about 24' and under.
WD hitch and sway control will be your friend and you will do fine.
Personally I couldn't live without a pickup or 2 around the house and if I wanted a Suv I'd put a canopy and carpet in the bed. But SUVs are just as capable as similar size pickups for towing unless you're going Pro and towing more than normal driving.
Rule of thumb, try to stay under the tow rating of the vehicle by a bit when looking at campers, because high profile trailers take more juice to pull and more weight/brakes to control than the flatbeds with some plate on them that the mfgs develop the tow ratings off of.