Ok - this decision has changed to 3/4 ton or 1 ton?

We carried a 8' camper in a 79 F250 with a 8,300# GVWR usually ran about 300# over, had a 460, no handling issues.

With the right F150 Max/Max yes it can be done. Yes it will need to be small, and light, but it can be done safely.

The thought process with most of the other posters, is you will want to go bigger soon. Then you will need a bigger truck.
While we tow a 5er, we will look at drop ins at the RV show. There are some very heavy units out there that even push 3500's capacity.