I have a close comparison for you....
My initial setup:
2012 GMC Acadia (5200 lb towing limit and 1397 lb payload)
2004 TrailCruiser 30QBSS (4370 lb dry weight and 6006 lb loaded)
I have 3 kids, DW, dog, bikes, and 5 rats in the vehicle. Everything else in the trailer.
I was over payload, over GCWR, over max tow rating, over rear axle rating.... and I THOUGHT that I was under.
Two camping trips with above setup:
Acadia pulled easily, some temp rise with inclines
Acadia stopped fine, trailer brakes setup well
Sway was minimal.
Take it easy and you can do it with the Tahoe, you have a body on frame vehicle and that is already a step above my unibody Acadia.
I have Airlifts in the rear coils of the Acadia, otherwise the WDH didn't even do enough. I would consider adding AirLifts or helper springs to your Tahoe.
You can do it, but you will be overweight a little bit.
