Consider a 3500HD with single rear wheels. Gas or Diesel is your choice.
My camper when fully loaded has a 1,600# loaded TW. When I fill the truck bed with camping "stuff" I'm glad I have the F-350. I have cargo capacity to breath with and not sit on top of all the ratings.
If you get the 2500, you could be sitting marginally on GVWR and real close on the rear axle rating.
If you are looking for a new truck, the difference between 2500 and 3500 SRW's is not much. On the used market the 3500 SRW may be cheaper then the 2500 as mine was. But it take a hunt to find one with the right options. The 3500 opens up more possibilities for future camper upgrades or other towing needs.
The new 3500HD SRW truck is a sweet ride. I have a buddy with one, a 2014 and it is a nice ride. Went with him on a trip in it. The Dmax is amazing how smooth and quiet it is. The Fords are nice too if you want to shift the Bowtie for the Blue Oval...
Good luck in your choices.
2005 Ford F350 Super Duty, 4x4; 6.8L V10 with 4.10 RA, 21,000 GCWR, 11,000 GVWR, upgraded 2 1/2" Towbeast Receiver. Hitched with a 1,700# Reese HP WD, HP Dual Cam to a 2004 Sunline Solaris T310R travel trailer.