I owned a 2002 F250, V10, 3.73 axle, Towed two different 5th wheels over 120,000 miles across USA and Canada with absolutely no problems. This was a long bed that was necessary with the "square nosed" older trailer I began with. The last trailer had a pin weight of 2350 pounds and approached the design limits of this truck but still managed trips through the Canadian Maritimes and New Mexico quite well. Really good luck with this truck. In 160,000 miles only changed oil,filters,tires and battery's, brake pads once.
Go for it!