Nick, somehow we missed this thread from a couple of days ago.
Comparing your truck to my 2006, I think the stats are similar.
Even if you have the 3.73 gears, with a crewcab and 6.5' bed, your maximum towing is rated at 9100 lbs. Check here: https://www.fleet.ford.com/showroom/...trp16May07.pdf
The 303Bh lists a 8194 lb. dry weight. Add options, a battery, and propane tanks, you are going to be in the vicinity of 8600 lbs. empty. It would be hard to keep the load under 500 lbs. And the tow ratings are less if you don't have the 3.73s
The hitch weight listed is 938 lbs. My hitch weight grew 150 lbs. over the listed weight. Even if you can keep similar to mine, that is close to 1100 lbs. The hitches for these trucks are rated at 990 lb. maximum tongue weight when using a WDH.
If you have the 6'5" bed with a crewcab, then your wheelbase is 150". That is a good long wheelbase for up to about a 30' trailer.....but the 303BH is close to 35'.....that is 1 long trailer.
With those 3 points, and especially overloading the hitch, no way would I do it with my truck.