This would never work. You're telling me a grandmother who lives in Manhattan will be forced to leave her family and move to a small apartment in Kansas? That's political suicide to suggest anything like that.
If you want to live some place forever, buy the property. Buying and renting each have risks. Buying risks that you will lose your initial capital, but you get to live there. Renting risks that you might have to leave the property, but the landlord absorbs the risks of the property value declining.
We can't really have effective policy if someone experiencing some kind of risk vetoes it.
It's political suicide to suggest that a grandmother who is currently receiving $0 in basic income should instead receive more? You haven't thought this through.
People move to cheaper parts of the country all the time, to fit their budget. I don't know why this would be any different.