Dave, what is your hitch rated at? On a gas vehicle of that vintage, I would expect it to be 5,000lbs or less.
Your Tahoe has a curb weight very close to 5,000lbs. Any cargo or options would almost certainly put you overweight.
I would think the 454 motor is going to be working hard just to get the coach over the mountains let alone adding another 5,000lb toad.
Personally, I wouldn't want to risk it but that's just my opinion.
Chris & Jo
2020 Forest River Sabre 38RDP.
2016 GMC Sierra 2500HD