Hi Tappet,
I have a 3600RL. The hitch weight in the specs is just 40lbs over yours. Can't remember what the exact hitch weight was last time I weighed. I'm towing with a Dodge 3500 CTD SRW. GVWR on the truck is 9900 and I'm very close to that when loaded (trailer wt when loaded 14500). I don't have the specs on your truck but you should look at GVWR and rear axle capacity closely. I'm sure some of the other folks who've pulled with gassers will chime in about gas vs diesel for a rig that size.