Tim,
Been there, done that. I had a '01. 5 2500 with camper package and hauled my 2714 lb camper (loaded, NO water). I also replaced the factory overloads with a custom 5 leaf pack and used Rancho 9000x's on level 9. A 3rd gen 3500 SRW is basically the same deal - not alot more capacity there although you do get 1,100 more pounds of GVWR. My truck handled the weight OK, not great but OK. Personally, I wouldn't go over 3,000 lbs total on a SRW truck, especially with a slide-in due to the high center of gravity.
With the camper your talking about, Truck = 7,000 lbs, camper = 3115 lbs dry + propane, water, gear, food, passengers, etc. etc. means you'll probably be at about 12,000 lbs all loaded up. Too much for a SRW IMHO.
Now, to the tire/stability issue;
- 1) It isn't necessarily about load carrying capacity of the tires, its about stability. With a dually the stability comes from 4 extra sidewalls. Now, I don't know anything about a Nitto Terra Grappler, but sidewall stiffness and max air pressure are the key to stability, NOT load ratings. For example lots of larger load range D tires have the same or higher load ratings than the factory E rated tires, but the max air pressure of the D's at maybe 55 PSI isn't even close to the E's at 80 PSI. Do not make the mistake of using load range D tires with a heavy slide-in.
-2) I'm not aware of a heavier tire in the 17" size. Should you choose to go with the 19. 5' tires/wheels you can significantly increase your stability and capacity. Whether or not two 19. 5" load range G tires are as stable as four 17" load range E's is open for arguement, but IMO, they go a long way to addressing the SRW safety/stability issue.
If you already had the truck, the 19. 5's might be the way to go but if it was me, I'd buy the DRW and be legal and also save the $3,000 - 4,000 that it costs for 19. 5's.
Dave