Dishes can be cumbersome and every time you move you have to reorient them. That, to me, seems like quite a pain in the neck,
Have you considered just using a portable dish like a PlayMaker or King Dome? Just put it someplace with a good view to the sky.
Or - put a permanent dish at both winter and summer locations and still use a portable dish when traveling. But you'd still need something for when you move between locations.
Personally, I'd choose the portable
2018 F350 CC, SB
2019 Grand Design Solitude 310GKR