Your trailer sound very similar to my previous. 32' and 7200lbs gross. I had a 2016 chevy 1500 crew cab. I was very close on my wights. Not sure how much better it would be than your Tahoe, but I did get better MPG than you empty (~20 on freeway speeds, better on highway) and slightly better pulling.
Take it from me, and other on here, if you are upgrading a vehicle and may get a 5th wheel, get a HD and don't upgrade again. A gas would pull your current trailer fine, but your mileage empty is not as good as a 1/2 ton. May be similar to your Tahoe.
Depending on how big a 5th wheel you want will determine gas vs diesel more. We recently got a 14,000 gross 5th wheel and a 1 ton diesel. Happy I went diesel for sure. It may be worth the time to look at 5th wheels if you want to upgrade in the future to determine the weight of the ones you like.
If upgrading to a HD truck, look at the 1 ton and not just 3/4. The cost difference is not much and better weights for a future 5th wheel. Also, in my case registration for 1 ton is $125 year, a 3/4 would have been $800
Like the bear, I to have a daily driver, so I don't have to drive the truck every day.