Your TT is about 7,000 empty & up to 9,700 loaded w/tongue weight under 1,500 so a 3/4 ton would do the job.
IMO you can't go wrong with any of the latest 3/4 & 1 ton choices, so it comes down to your budget. We wanted more funds available for camping, so I bought a 2 year-old Ram 2500 w/5.7 Hemi & payload of 3,000 for $14K. Our TT is 8,500 ready-to-camp & with family of 5, bikes, fiberglass cap, firewood, etc. our GCVW is near 15,000. The 5.7 had no trouble maintaining the speed limit throughout the Smoky Mts...
For the price of a F150 EB w/HD upgrade, needed for your size toy hauler, you can get a Ram 2500/3500 w/6.4 Hemi. If you can live with a stock interior (no leather, NAV, etc.) you can get a Ram 3500 w/Cummins for under $45K....
2011 RAM 2500 ST Crew Cab 5.7 Hemi
2011 Primetime 3150BHD Touring Edition
Days camped in 2016-36
Days camped in 2015-37
; Days camped in 2014-31