Hi,
With a 1,700 'dry' empty hitch weight, sure to go up by 300 - 600 pounds while towing, I would be considering a slightly more expensive F-350 SRW truck. It will have about 1,400 higher GVWR, while the curb weight is nearly identical. The cost difference is barely $1,000. Weight and MPG difference is insignificant, say 100 pounds and fractional MPG difference.
Remember that your hitch will be 100 - 150 pounds, depending on the model. As you fill the trailer, the empty hitch weight will go way up. If the F-250 has a 2,500 pound cargo rating, and you have 3 passengers with a total weight of 600 pounds, then you will be exceeding your GVWR once hooked up to the trailer. .. Add a pair of 47 pound generators, some firewood, and perhaps a cooler in the truck for drinks?
Good luck,
Fred.