The problem with using someone else's numbers is not everyone loads and travels (people, firewood, etc.) the same. I know you don't want this, but I would go with 20% of 11,000 GVWR which is 2200 pin weight. Add hitch, firewood, and passengers to the truck and you're over 2500 lbs. of cargo.
My advice is skip the F250, spend ~$500 more for F350 SRW, and enjoy 2 tons of cargo capacity!
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