I towed an 8400# camper (loaded) tongue hitch with a 14,000# equalizer sway setup. Originally I did it with my 1/2 ton Ram, but bought a 2500 to tow it since I was pushing the limits of the 1500.
We traveled a stretch of road that made the camper bounce viciously and we would lean forward while driving (Off the seat back) and that seemed to help.
You just can't do that for long stretches of road! We adjusted the Equalizer and it helped only marginally.
We bought an Airsafe hitch and that took most of the bounce out. They are not cheap. I had about 1200# on the pin/hitch and just looking at your big camper (38.7' 9500# empty) you may have 2000# on the pin/hitch loaded? Sway wise you want about 15%, (or more) of the camper total loaded weight to keep the sway away down steep hills. You might want to call Airsafe and discuss with him your setup as they have adapters to work with WDH's. I lost 25% of my Airsafe rated weight using the adapter.
Other than that, Shocker sells some 20k rated air hitches that are cheaper. I can't say they are big enough for the tongue weight you have or that they will work with your WDH. Good Luck!