Your trailer has a spec dry (no gear) weight of 7,590, (but check the yellow sticker for as built weight) and it has a gross weight of 9,250
Looks to me like the lowest tow rating on a F-350 CC is somewhere around 8,100 on up to 15,000. Until you determine exactly what you have for a TV, you are not going to know what it is capable of.
The link you provided is for 2006. Ratings have changed a lot since then. Far better would be to use the owners manual that came with the truck. If the manual has gone south, the last year or two can be obtained online.