I've lived in Ohio on and off my entire adult life. Thanks to the abundance of a certain non-mentionable substance in Ohio, the racial makeup of a neighborhood isn't nearly as important as the overall socio-economic makeup of a neighborhood.
Example-- I'd be more comfortable living in Evanston/Avondale (Cincinnati neighborhood) than I would be living in Hamilton. But by your logic, I should be "safer" in Hamilton.
What drives inflation for housing would be desirability-- Example, you can live cheaply in Ohio because who the fuck wants to live in Ohio??