I'm saying faced with desperation, you can be desperate in an area with reasonable rents instead of an area with exorbitant rents.  As for entry level low wage work, it exists across the country in all places.  If you're unemployed and have no skills to get higher wages, then you have to start at entry level.  Sitting around and not trying any options is a cancer that results in slums and multi-generational sub-employment.
Being at the bottom of the heap always has meant hardships and a greater struggle. It always will.  I had to work my way up when I left teaching.  I started in factory work, and it took years.  I lived in efficiency apartments, cheap, crappy, and it was fair.  All of it gives one incentive to move up and have better.
I'm not in favor of making public housing nicer than what the working class gets.
My perspective comes from personal experience.  Mother was a consummate maker of excuses and ultimately a permanent resident in public housing.  From the time I was old enough to remember, she had a terrible history of not going to work.  She'd miss.  It was shitty for her employers.  She had skills too.  She worked for a printing company, a lawyer, and several jobs where she used more than basic skills.
What became evident through her friends and connections is how common her pattern was.  Not going to work indeed leads to not having jobs.  Not having jobs leads to living in public housing.  Compounding all this was the break with family and personal support systems.  As I've helped homeless people over the years, this pattern has been obvious.  Many of them are not mentally ill, but are certainly completely estranged from all sense of family and community, and therefore, are desperate when setbacks come.  Complete independence from community is a very expensive proposition.
Poverty  is a cycle.  I saw it when still in junior high and determined to break out of it.  You could look around and see how minimal things like having a phone, having a functioning car, were lost by people who didn't have the drive to keep these basic necessities.  Once both of those are gone, employment is nigh impossible unless there is public transit.