I have helped many renters become buyers. When the question is posed as you have here, it would lead me assume, you believe you are not in a position today to be a traditional buyer. I would encourage you to explore FHA loan opportunities, which are NOT strict on credit scores and permit as little as 3.5% down at incredibly low lending rates around 4% on a 30-year mprtgage. this might end up being a lower monthly cost then renting!
If you do not believe that you could handle the 3.5% down on a house, then I guess rent-to-own is an option, literally, as we in the real estate profession, more precisely refer to your goal as a lease with option to purchase, sometimes with a portion of rent credited toward the purchase.
I am happy to refer you to a FHA expert in Fairfield County to make sure you don't miss a possible amazing opportunity. Please feel free to call me anytime at 203-218-6664.