I think you can handle a wet/loaded TT of up to 7K with your new truck. OK 7,500 GVWR, but you are reaching your limit. As to amount added to dry wt, like O-B mentioned, does not include propane, battery, or water. I see many say, "we don't carry much water", but the time will come, when you will want to travel with full fresh water, including another 6 gals/50lbs in the WH. So if you travel lite, you should not add more than 1,000 lbs, to the 5-6 hundred lbs I mentioned above.
I enjoy your humor, and hope you have a great towing experience!
Jerry