Just be aware of the pin weight of your trailer, estimate 20% of the GVWR so 2800 lbs, plus the weight of the hitch, fuel, stuff and passengers, say another 600 - 800, and you'll be around 3400 - 3600 payload. Pretty much way higher than any F250 - mine has 2600 lbs of payload. If you tend to ignore payload ratings, then the 6.7 is going to tow the heck out of that trailer, it's a great engine.
Edit; the previous owner of my F250 did indeed not have a clue about payload ratings and did indeed tow a 14K fifth wheel, so I know for a fact that the truck will tow the heck out of that trailer. I just personally happen to follow the ratings, I am a wuss that way I guess... :B
Brian