i'll tell you my story in pictures...
7700GVWR F150, 5600lb dry RV, weighed around 7000lbs the last time i was through the scales with it. Towed wonderfully.

Same truck, new 8600LB "dry" 32ft TT - did one trip.

Decided the F150 was way over its head and did the smart thing.

Moral of the story is while your truck may "pull" it, you won't enjoy it as the truck is simply too light and too soft and light duty to handle it. Waste no time on that magical tow rating they publish, our tall solid sided RV's don't tow like 10k LBS worth of flat payload on a flatbed trailer.