Finding somewhere to live on Probation

Last year October 2015 my boyfriend and I got into an altercation and he ended up breaking my finger. Long story short he ended up on probation and being charge with a low battery charger I believe. We have a four-year-old son together who because his father is on probation can't be around me makes it hard for us to figure out a way for him to see his son. He has been his probation for almost a year now and it ends In February 2017. He is currently looking for somewhere to live, but can't because of his Background checks. Is there anyway I can help to end his probation early in order for him to find somewhere to live?