I would make a differentiation in terminology. "Full timer", typically implies someone who travels in their RV. They might stop for a month or two but generally aren't stationary for long periods. What you describe would typically be called "snow birder".
The typical snow birder has a home up north and an RV that spends the winter in one location down south all winter. They may or may not take the RV back north in the summer though as they age, most migrate to leaving it down south all year round.
So basically, you would be a snow birder who has an RV up north for summer use rather than a house.
I'd look at park models. If you are never going to tow them, no reason to accept the limitations of an RV.
Of course, depending on what the local RV park rates are, it might be cheaper to maintain 2 apartments.
