Well congrats on the new camper.
As a former 2011 F350 owner I think you are going to be in for a surprise and not necessarily a pleasant one. My Northern Lite only weighs 3000# so it is a lot lighter than your 1191 is going to be. Also NL weighs every camper when it leaves the factory with all of the options and the actual weight is on the camper. In my model all the options are already on it so the 3000# is what it weighs. I had a rear GAWR of 7000# with the tire capacity of 3640 for each rear tire. When I loaded the camper with our stuff in the camper (we travel light and don't put a lot of junk in) and put it on the truck I was just under the 7000# capacity and this is with no water. After trying it for a few short trips I ordered 19.5 tires and wheels for it. I had air bags and Stable Loads and installed Rancho 9000XL shocks on th etruck. That is what I had on the truck when we took our trip to Alaska last summer.
When we got back I started looking at a larger truck and now I have a 2013 Ram 3500 DRW for the same camper and I have no suspension add ons on this truck. My GVWR is 14000# and I weigh ready for travel just over 12200#. So I now under my GVWR by 1800#. Travel much nicer than before.
I wish you the best.