A few hundred years is a long time in our terms, and imagine the technology that will be available , if we survive it.
It may be that the most logical place to live is on a dead planet, or moon where there is no atmosphere, earthquakes, storms, ice ages, floods and a
host of other climactic catastrophes that wipe out entire civilizations. Perhaps some of our earliest ancestors did the same thing.
With the proper technology, you go there and manufacture the environment, with total control over it. A plausible future.