For a small TT, sure, why not? I don't see a problem.
Not a F150, but I towed with a 3.5L 270HP V6 Toyota Highlander for more than 140,000 miles (both work and play). My TT for much of that time was a 16' 2700 lb KZ Spree Escape E14RB. 7' width, 100" tall. I towed it through the Rocky Mountains several times. Climbing the San Rafael Swell in 90* heat and a stiff headwind had me down to about 38 mph and in 2nd gear (I wasn't flooring it or anything though), but that was about the worst of it. In most conditions, it was enough power to do just fine at 60-65 mph highway speed.