What do you have for Medical Coverage.......Medicare, Obamacare, etc.
Medicare........pick the state you want to declare as your 'domicile' (need to check on residency requirements etc.) SD, FL, TX are ones most often used by full timers.
Obamacare........then you need to really check out what plans/coverage are available by/within each state.
SD & FL at this time do not have Multi-State plans available so medical coverage is In State.......tough for a full timer that is traveling. Emergency may be covered provided policy requirements are met but routine stuff is most likely out of pocket.
Multi-State Plans........
LINKFull Timing 'domicile' state use to be fairly easy.......little bit tougher now a days if still under 65 yrs old.