A big problem with this concept is jobs. The working poor are almost exclusively employed in the service sector at or near minimum wage. Worse yet, many are essentially day laborers, even outside of the sort of fields normally associated with on-demand labor (to wit: startups like workpop.com and shiftgig.com are responding to market realities).
Finding a food service or house cleaning or landscaping job in a depressed, but affordable, city like Redding or its ilk is going to be way, way harder than in a more expensive place.
Add to this that once you lose your car, you can't live or work outside of a city with functional public transportation. None of those are cities are going to be dirt cheap.