You will most likely be at or over the F-150s cargo limit with either TT.
As advertised, my 5000 lb dry weight TT has a tongue weight of 450 lbs empty. When loaded and on the scales, the true numbers are 5600 lbs for the TT and 600 lbs on the tongue. This of course varies with how much stuff we carry on each trip.
My max cargo is 1400 lbs. With 600 lb on the tongue, 500 lbs for two adults and a dog, 200 lbs for the truck cap, not much left for camp gear and toys.
So, do not be surprised if you exceed the cargo capacity of your TV, many folks do.