No one knows what your trucks total package is so your going to get input from F350 DRW owners with other cab/options selections.
This per fleetford.com spec sheets; These numbers are for std selections and no options.
The '11 F350 DRW 2wd regular cab 12800 GVWR 9000 RAWR with a 6.2 gas has a 6520 lb payload.
The same 2wd reg cab truck with a 6.7 diesel has a 12500 GVWR 9000 RAWR has a 5530 lb payload
Now add a 4x4 crew cab long wheelbase and other factory options and the payloads go down.
The same truck in a '13 and '14 DRW 14000 GVWR and 9650 RAWR has payloads over 7000 lbs with the 6.7 engine.