Be more specific on the truck and trailer weights. Your typing skills are a bit confusing..
Truck model.
Trailer model GVW TW etc
Payload capacity of truck.
( Probably best going to scales so you know exactly what your dealing with.
The lowest tow weight for your truck from the guides is 11700.
I dont see an issue so far as I am sure you have enough payload.
But who knows.
First # is tow rate 4wd, second is AWD and third is GCWR
http://www.trailerlife.com/wp-content/uploads/2012/01/Trailer-Life-Towing-Guide-2005.pdf
F-250/350 SRW Reg Cab
5.4L V-8 12,000
6.8L V-10 (a) 12,500 (17,000/16,500) 23,000
6.0L V-8 TD 12,500 (16,500/15,900) 23,000
F-350 Reg Cab DRW 5.4L V-8 12,300/11,800 18,500
6.8L V-10 15,000 (16,700/16,200) 23,000
6.0L V-8 TD 15,000 (19,200/18,700) (b) 26,000
F-250/350 SuperCab SRW
5.4L V-8 11,700/11,200 18,000
6.8L V-10 (a) 12,500 (16,600/16,200) 23,000
6.0L V-8 TD 12,500 (16,100/15,600) 23,000
F-350 SuperCab DRW
5.4L V-8 11,900/11,400 18,500
6.8L V-10 15,000 (16,300/15,900) 23,000
6.0L V-8 TD 15,000 (18,800/18,400) (b) 26,000
F-250/350 Crew Cab SRW
5.4L V-8 11,500/11,100 18,000
6.8L V-10 (a) 12,500 (16,400/15,900) 23,000
6.0L V-8 TD 12,500 (15,900/15,400) 23,000
F-350 Crew Cab DRW
6.8L V-10 15,000 (16,100/15,600) 23,000
6.0L V-8 TD 15,000 (18,700/18,300) (b) 26,000