Hi and welcome to FRF!
You need to provide more information about your Chevy.
Cab size, bed size, 2x4 or 4x4, rear end ratio, factory tow package or not, payload capacity from the driver's door yellow sticker.
That TT is liable to exceed the truck's max hitch weight and possibly max towing capacity, when loaded for camping.
I owned a Avalanche with the 5.3 and I'd NEVER tow a trailer that big.
Dan-Retired California Firefighter/EMT
and Zoe the Wonder Dog(R.I.P.)
2016 PrimeTime TracerAIR 255, pushing a 2014 Ford F150 SCREW XTR 4x4 3.5 Ecoboost w/Max Tow Package