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2008 SRW F-350 Crew cab LB...
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Not enough info for a definitive answer, but I'll guess at some of the other info.
Diesel engine and automatic tranny and 3.73 rear axle ratio and 4x4 drivetrain?
GCWR is 23,000 pounds. GVWR is 11,500 pounds.
The wet and loaded tow vehicle with the normal tools, jacks, people, pets, ice chest, options such as spray-in bedliner, 5er hitch installed, and a full tank of diesel will weigh about 9,000 to 9,500 pounds. So assuming 9,500, that leaves 2,000 pounds available for hitch weight, and 13,500 for max weight of the wet and loaded trailer.
2,000 pounds hitch weight on a trailer that has the normal 18 percent hitch weight is a max trailer weight of 11,111 pounds without exceeding the GVWR of the tow vehicle.
The Keystone Raptor model 3812TS is 39.7' long so that's close to the 40-footer you mentioned. It has a GVWR of 18,000 pounds, with a dry shipping weight of 13,405. Dry shipping weights are notoriously understated, so you'll be over the GCWR of your tow vehicle after you fill up with propane and add a few gallons in the fresh water tank. No food, pots and pans, bed linens, toys in the garage, nothing.
So the short answer is Ford says you can't tow that much trailer without being overloaded. Your limit is a 5er with a GVWR of around 12,000 pounds without being overload per the Ford engineers. And nobody else's opinion counts.
If you want to tow an 18,000 to 20,000 pounds or heavier trailer, Ford makes a tow vehicle that will do it without being overloaded. But it ain't the F-350 SRW.
Try a 2008 or 2009 F-450 pickup with a GCWR of 33,000 pounds. That puppy can tow a trailer that grosses around 23,000 pounds without being overloaded.