I would advise anyone with a truck and wanting to carry a heavy truck camper is to weigh the trucks front and rear axles seperately with close attention to the trucks rear axle/wheel/tire load rating as Fords 6084 RAWR will carry most if not all the TCs weight. A single gross weight doesn't tell us much.
If the F250 has the heavy service package then it is the same truck as the F350 srw 6830 RAWR (cab and drivetrains being the same).
Someone keeps refering to a payload sticker. The payload sticker became mandatory in '06 so our older trucks did not have a payload number. Back then as now the trucks axle/wheels/tires/spring packs determined how much load the truck can safely carry.