20,000 lbs is the MAX GCVWR for your truck. As jrobinson2 has said, the load range can be even higher with the D's, but the E's are much more stable. 20,000 lbs GCVW is way too heavy for D rated tires IMO. I personnally think you're pushing the limit towing/hauling approx. 13,000 lbs with a 2500 SRW even with the E's. As Rob has pointed out, a slide-in camper would be the worst scenario. A 5er, while fairly stable, carries a significant portion of its weight on the pin (maybe 25%). A bumper pull trailer will be about 1,300 - 2,000 lbs tongue weight for a 13,000 lb trailer. Sway becomes a real issue with heavy bumper pull trailers. I've seen two friends recently make the mistake of using load range D tires for heavy loads. The first one has a 1993 F350 CC SRW with a 29' bumper pull travel trailer and the second has a 2004 F350 Ext cab SRW short box with a 15,000 lb man-lift trailer. Both have complained about severe handling problems which have been fixed by going back to the E's and airing them up to 80PSI.
Sorry if I sound like I'm preaching, just trying to help someone avoid a costly and potentially dangerous mistake.
If you don't tow/haul often or heavy by all means go for the D's.
Dave