Late in the 2001 model year, the only difference between the F-350 SRW and the F-250 with otherwise identical options was the standard tires.
But early in that model year, there were other differences, including rear springs and rear axle.
If your pickup has code "B" rear springs, then you already have the same springs that came on the F-350 SRW. And about the same time Ford changed the rear springs, they also began installing the same rear axle in both F-350 SRWs and F-250s.
But if your pickup has code "A" rear springs, then you need to change the rear spring packs, rear axle, and tires. Tires should be LT265/75R16E, or bigger tires with a weight capacity of at least 3,415 pounds. The rear spring packs should be Code B rear springs. Even better would be to add the Ford auxiliary (overload) springs to the Code "B" rear springs, which increase the weight capacity of the rear springs by 518 pounds.
If you have code "A" rear springs, then you probably have the F-250 rear axle instead of the F-350 SRW rear axle. You can't tell by just looking. To be sure you should replace your rear axle with the entire third member off of a wrecked '99 thru '04 F-350 SRW in a junkyard.
Then install Firestone RideRite airbags in the rear suspension and you should be good to go. Just don't get stopped by a State Trooper that might check out your GVWR on the Federal Certification label on the lower doorpost behind the driver's door. /ubbthreads/images/graemlins/crazy.gif
Oh, and because of your top-heavy load, you should have the big anti-sway bar installed in the rear suspension. There were two different sway-bars that year. One was about one-half-inch diameter, and the good one was about one inch diameter. You want the thick one - if you don't already have it.