I moved your post in the General Truck section to here.
I have hauled many of the 6000 series trucks easily with an F-250 PSD and a gooseneck trailer with brakes. The only trouble I had was with one with no engine and tranny and a heavy steel bed. It was too heavy in the rear and I had to slow down. With no bed you should have no trouble. (Assuming your trailer has brakes.)