By now you should have figured out that it is a matter of how much you wish to overload your TV. My E-Boost F-150 is rated for 9500# towing.
However,,,, if you figure just 10% on the tongue weight that is 950 lbs; the max cargo on my truck is 1400 lbs. so I can haul me, the DW and the dog. If I transfer back 200 lbs. for the WD hitch I can now add the truck cap to my TV. Still no camp gear etc.
The problem is you will run out of TV cargo capacity long before you run out of pulling capacity. :S The reason people get by with large TTs and smaller TV is because you can temporarily overload a pick-up. If you do not believe it just ask any farmer.:B
Obviously it is not a good idea nor does it promote TV longevity but you see it done often enough.
I figure a half ton TV for a 5000lbs dry weight TT; anything bigger go with a bigger TV if you plan to do a lot of travel.