I bought a 2018 Ram 3500 last year and put my 2012 Adventurer 86FB on the back. It swayed more than my 2006 Ford F-250 ..... but then again I added 5000 lb overload springs on the back which worked pretty good. For my Ram, I installed the Hellwig 7298 Big Wig rear sway bar and it helped tremendously. The sway bar is massive and is 1.31 inches in diameter and made of 4140 chromoly spring steel. Don't think you'll find a better sway bar. I've got some Firestone air bags that I'm going to instal, but there's a broken bolt that appears to have been over torqued at the factory and broke off. I can't get the dang thing out. Anyway, my camper is 2300 lbs dry and I'm guessing yours is heavier. Campers are generally at the edge of the limits for trucks, so I went from the 3/4 ton to the one ton ..... but my 3/4 ton Ford did great with my modifications.
