Well, I haul a Jazz 2780 bh, which is similar, and A 2500 Quad short bed should handle it just fine.
That been said you may want to consider a 3500 of the same configuration to give you a comfort zone with your (legal) weights. I found that all loaded up with hitch,gear and trailer my truck is up around 9500lbs and my rig is probably a little bit lighter than yours. Stability with the SRW is excellent.