As others have pointed out, targetting recidivism rates would probably be the best way to tackle this problem. This means things like not allowing for discrimination on employment opportunities, a right to be forgotten, among other things.
Getting out of prison and being unable to secure a job is a huge problem. Of course they will go back to crime. It's not like going to a medium or low security prison is anything more than adult summer camp anyway.
Volunteer, not-for-profit work. Ban for-profit prison labor.
Put that proposal forward and see how long it takes to get lobbied out of oblivion.
That's not to say it is perfect by any means. I have friends who have been to prison that form my opinion and what impacts them most is not the prison but the society around them when they leave. They get passed over for jobs and end up on social assistance, social housing (when your rent cap is $376 and average rent is $1200 for a bachelor and your basic needs amount to $300 assuming you get some special diet).
Alternatively, we could provide more counseling, life-skills coaching and vocational education while treating them like human beings for a comparable cost to the taxpayer, and greatly reduce recidivism rates. That would eliminate a source of cheap labor benefitting political cronies and limit their ability to posture about being "tough" on crime though, so not gonna happen.