So this is the pot speaking to the kettle,
What is the GVWR on your F250? Does it include a Camper package (drop in). Our 5er weighs in at just about 11,000# with a 2,000# pin. Needless to say we a a bit over the trucks GVWR, but well under front and rear axle and tire ratings. My truck came from the factory with a Camper package, included rear sway bar, and 3500 (one ton) springs. I carry that pin on the stock suspension, no bags or Timbers, and I still have NOT engaged the stock overloads.
You are looking at at least a couple hundred more pounds of pin for sure.
The question to ask your self, would you feel safe driving down this road at the 55 mph limit, or maybe even 5 over so traffic doesn't backup behind you? I will tell you I do, it is all about good maintenance and keeping the front end tight!