ajcc, will stay out of the payload discussion. You can read for days about that, didn't need to ask the question even. Just starts an argument here.
Regarding convienence, TC or class B or C is the obvious choice for touring where you drove long distances and only spend a night or 2 in each location.
Agree, hauling a big trailer and different location every night, out west, mountains etc doesn't make sense for a TT, unless talking small one like a Rpod or popup that doesn't hinder or make steep grades, sharp turns, multiple u turns (hey lets go back an look at that....5x a day)
TC and b or C are easiest setup nightly. There basically is none.
B or C means considerable more expense than you will spend for a comparable truck camper, unless you plan on losing/spending more money for a dually when you already have a good truck. Then it may be more of a wash.
You didn't say how many people, but presume if you're taggin along with grandparents then you're really young. I'd slap some heavy duty tires and sway bar and bags on the pickup and get a moderate size hard side TC. But that's just me.