Welcome to the site.
We were in a very similar situation back in 2016. Before we retired and moved to Texas from Louisiana we made a big effort to get mobile, and sold our house and moved into an apartment complex where we could "lock and leave". For 6 years we would escape the Texas heat for 5 to 7 months at a time and travel/live somewhere else in the USA, Canada, Australia, England.
In 2016 we decided to do the snowbird thing, rent a house in England on a permanent basis, spending summers there and winters in Texas. We had done a trial run in 2011, renting a house for 7 months in England, and it worked out well apart from the aggravation of furnishing it then disposing of everything before moving back.
It IS complicated but can be done, however after 6 weeks back here we just loved it and decided to tell our 2 adult children in Texas and California that we were moving back to England for good and we bought a house in October that year (didn't complete the sale until end of January), moved back to Texas as planned in November and sold up, returning to England late January.