"Well the 1,338# DRY pin on a GVWR of 10,195# at GVWR pin could be 2,020# at 20%."
^^^^^
Agree, worst case, yes it could be 2,020 at full GVWR. What's the problem???
Any 3/4 ton, even an older model can easily carry that, plus a 200 lb hitch on a rear axle with 6-6.5K RAWR available.
OP could buy your old, IIRC, 2,001 2500 and carry 2k pin, 200 lb hitch, and a load of fire wood, still be under axle/tire rating. Many 25 series trucks have a 6,500 lb RA rating.
My 250 can carry my FW GVWR 12,110, if loaded to capacity while staying under every rating, including my payload.
OP just stated again they want a 250, which will work great. If they wanted a 350, I'd tell them that will work great. If they NEEDED a DRW, I would suggest they go that route.
Nice to see a little activety on the FW forum, even if it's just banter!
Jerry