GENERALLY the F250 will do Ok pulling up to about a 30' without exceeding the GVWR. But, you need to weigh the truck loaded for travel and see the weight.
GVWR - loaded truck = max pin weight.
As an estimate, the pin weight on a 5er will be about 20% of the trailer GVWR when loaded. The dry or brochure pin weight is pretty much a useless number.
Amateur Radio Operator (KE5DFR)|Full-Time! - 2012 6.7L Ford Crew Cab Dually -2013 HitchHiker Champagne 38RLRSB - Travel with one Standard Schnauzer and one small Timneh African Gray Parrot