It all depends on the weight of the truck and the cargo (passengers, added options like hitch, bed cover, spray on bed liner, fuel, the dog and cat, etc). Once you subtract the weight of the truck and all of the other stuff from the GVW of the truck, that is all you have left for hitch weight, at least legally. I think the hitch weight on the 3160EL is 2,095 dry. So, if you subtract 2,095 from 9,200, that would mean the truck and all of its cargo must weigh less than 7,105. I think you will be way over that? Furthermore, if you have added options to your coach, like a generator, washer, dryer, etc, and your normal belongings, it will add much more weight to the hitch weight.
That said, I have a 2014 F250 6.7 with a 10,000 GVW rating, with Air Lift 5000# Ultimate air bags, and have pulled my 2014 3160EL for thousands of miles with no issues. Even with the additional 800# of GVW capacity my truck has over yours, I am still a hair over the truck's GVW, so I drive no faster than 60mph and maintain greater stopping distances.
In short, your truck most likely can NOT safely handle the hitch weight of the 3160EL. It can nearly handle with the maximum (15,500) loaded towing weight of the trailer, but the hitch/pin weight is the kicker!
I plan to purchase a SRW F350 in the near future, and will eventually upgrade to a Landmark and DWR F450 in order to full time it. I know the DRW F450 is a bit overkill, but I want plenty of room for Added fuel tanks and other cargo.
Either way, good luck and happy camping!