Sounds like you have the Tahoe version of the suburban or I call it the Stubby version. Not good wheel base is to short result you will experience sway. That's not fun because you can get stressed out and
your partner will wake up and say "are we there yet" Go with the regular Yukon or Suburban I think over all length is 220 inches. The
5.3 liter and 3.73 Rear End and higher is OK but 3.08 axel will not
move anything larger than a tent camper. I know I have the 5.3/3.73 axel and pull dry weight of 6,200lbs with a suburban 04. Very steep
inclines can be a problem with the air conditioning running, I usually turn it off in Branson, Mo for example. Flat ground it is a great combination. Gas MPG is 8-9 depending on wind. Change the transmission oil often and flush the radiator it will save in the end.
I'm looking for a tow vehicle but prices have put me on the side lines my old burbon is still running but with over 200,000 on it pulling 8,000 lbs it is time. If I can not find another vehicle in my budget we are going to quit. Looks like this administration wants another 15 cents a gallon and the states are all licking their chops.
It won't be long before we see four bucks again like it or not thats the future. Everyone wants electric. Premium gas is 80 cents more than regular so I ruled out the 6.2 liter Yokun which is really the best SUV to tow with. Best for trucks but Premium gas is recommended. Good luck with your search I will need it also but this camping is getting to be expensive fun and we used to look at it as the best least expensive venture for our family. Times are changing.