An F150 with a payload package can haul some of the smaller campers around.
But it will still reach its limits fairly soon.
You can't have too much truck is a sentiment frequently heard around TCers.
If you consider a regular cab, be forewarned that the typical TC offers limited storage - especially the lighter builds. So most of us are happy to have some extra space in the cab. I had a Silverado 2500HD Regular Cab for a number of years, and the lack of storage space was one of the reasons why I went with the extended cab we have now.
I picked the Ford 6.2 gas engine as it has a pretty solid reputation, and 2011-16 the transmission was the same as in the 6.7 Diesels. You don't hear a lot of bad things about these trucks mechanically. They do like to rust (as all of them do) without additional rustproofing.