CMHA is a voucher program. You find your own place and if the landlord accepts the voucher it is applied to your rent.
Cincinnati Metropolitan Housing Authority (CMHA) does have a variety of housing options such as high rises, townhomes, single (houses) unit dwellings. In some cases you can lease a house from them but I am not sure about the process. I'm not sure if you have to stay in one of their sites like Winton Terrace, Findlater etc and then transfer to an house. It's worth calling in an inquiring about. When you do fill out an application check the scattered sites option.
Thanks! Your answer is awaiting moderation.