However, people often want to live in these areas because jobs are there. The trend over the last 40 years has been for the decline of industrial areas as factories close. In most post-industrial countries there's towns and cities with really cheap housing - because there's no high paying jobs nearby. I wonder if UBI would have a longer term effect of injecting money into these areas, increasing prosperity and drawing in people who live in expensive cities but have seen their UBI get inflated to zero.
I don't think food (as in, grains and vegetables and meat) will be subject to the same inflationary problem - there's not the same fundamental supply limit that you get with housing in a city.
I think we should try it though.