As stated no way!!!
tongue weight states 942 lbs.. After loading im sure would be up in the 1100lb area. Im sure you dont have enough payload for the truck.
And as stated the dry weight is 7734's. Loaded you will be well over the limit..
Youll burn that 5.0 up IMO trying to tow that. As well as the tranny..
Do you want to know what you can tow?
Post what the yellow sticker in the door states in regards to payload... Thats the deciding factor really..
Since your Ford is pretty identical to specs as my silverado I pretty much already know what you can tow..
Heres what you want..
Length: 36' 6"
GVWR: 9,740
Dry Weight: 7,734
Hitch Weight: 942

Here is the best you could get in a bunk house... Youll be comfortable with this. But get a trans cooler as large as you can fit, and get some sumo springs to help with sag..
Your TW will be up in the 750-800lb mark.
http://www.coachmenrv.com/product-details.aspx?LineID=62&ModelID=292#MainHitch Weight 585 lb.
UVW 4880 lb
GVWR 7000 lb.
CCC 2120 lb.

Video.
https://www.youtube.com/watch?v=8tc8RQUk35M