"If you are sticking with that vehicle,you need to add a transmission cooler and a transmission temp. gauge. In the 70s when I was a mechanic . I made plenty of money off people who thought if the engine was running cool the transmission was cool also."
You know this based on cars you used to work on almost 50 years ago?
I agree that trans temp is one of the critical concerns when towing, but the trailering package could simply be a hitch and maybe a brake controller wiring.
OP didn't even mention what year or trim/level of vehicle. Any of the variants are at least like 260hp and 6 or 9 speed, so capable from that standpoint.
But the OP needs to provide more info, or more succinctly, go do the research. Find a Chevy traverse website or talk to a dealer.