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 & Dell (Siberian Husky - 110lb of fur and muscle)
2003 Beaver Santiam 40DST - Cummins 330ISC
Closely followed by a 2012 Equinox AWD