I did a search for your state and there are co-ops and other non-government options in nonprofit housing. I will text you the websites.

I really encourage anyone in market rentals to investigate affordable housing (not the same as low-income government housing) Unfortunately a lot of non-profit buildings are "hidden" as they are run by various charities or societies. This is not the same as government housing so you won't find it easily. Buildings may be run by groups like the Masons, the Lions Club, Christian groups, municipalities, and more. Most cities will have some of these options. Sometimes they will go by "community housing."