Iirc, you just got this truck for the new camper. What’s wrong with how it handles the load and what have you done to correct it?
Yes of course, a 5500 will have way more payload, stock. Order of magnitude, close to double that of a 1 ton dually.
But flat towing a car won’t eat any payload and your little tree and brush clearing tools don’t either.
A bigger truck would be the “ideal” solution for a camper that size, at the expense of having a vehicle that is quite impractical and uncomfortable as a daily driver (from a suspension standpoint).