Considering this TT 23' Passport Elite Weighs 4747 dry guessing around 6K lbs set up to go. TV; '17 Ford F-150 with the 5.0, 3:55 rear gear and tow package. Equilizer hitch. Truck rated for 9,600Lbs. ...
You are a little confused, the 9,600 for 150 is tow rating, not GVWR. The 6,850 is the 150 GVWR. The 250 does have a 10K GVWR. The 5.0 with 3.55 should work fine for that trailer.