What is the available payload capacity of your F250?
Available payload is the difference between actual truck weight (camp ready....passengers, any stuff in cab, hitch, any stuff in bed) and the trucks GVWR.
Got enough payload left to handle a 2800+# of pin weight?
My trailer weighs 13,830#.
I tow with a 3500 SRW and I'm right at max. (I get weighed each year).
I wouldn't tow that heavy with a 250/2500 unless the numbers fell in line.
GVWR, RAWR, Tires, GCVWR.
The newer truck ratings are higher.......some how.
On Edit: Just looked at a Ford Brochure. It listed a 250 with a payload of 4200# and a GVWR of 10,000# :H