Interesting discussion but you are asking for trouble. Take your tow capacity and multiply by 0.85. That is the max TT wet weight you should stay with until you can get a more appropriate vehicle. Dose of reality: I bought a used 1990 F-150 with 72,000 original miles and discovered after 30,000 miles that the truck had been overloaded with a goose-neck livestock trailer. It cost me a new tranny, transfer case and a total rebuild of the rear end. Lesson learned. Get a TT with bunks for the kids that is below 5000 dry and move on until you can get a new TV. I tow a SolAire 20RBS (4408 dry weight) with a 2014 Tahoe Z71 with the tow package. I have no problems on hills though on an 8% grade it is slow from a standing start though half way up I was accelerating. I have plenty of power for the little towing that I do. If we went full time, I would have a 3500 Chevy and a 5R with weight appropriate to the limits of the TV. I would continue shopping.
2015 Palomino SolAire 20RBS
2014 Chevy Tahoe Z71 with special towing package
2015: 18 days camping
2016: 21 days (so far!)