And that's what I'm trying to point out in my post...you're F250's payload is about 250lbs more than my F150....
So, basically this is the math you should do:
Payload 2077lbs - occupants ____lbs - 5th wheel hitch 100lbs = weight left for your pin weight.
F250s are very capable trucks indeed and they sure look a lot like their big brother the F350, but legally they aren't nearly as capable.
F250s make great tow vehicles for travel trailers, but when it comes to 5th wheels, you quickly go over the payload rating of your truck.
What you end up doing in the end is up to you, but I just wanted to give you the low-down on your payload.
I would hate to buy something, just to realize that I was overloaded. Not everyone feels the same, but it's something to consider.