Question for Ohio property managers? How low will you go?

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I've been researching markets to buy out of state, and I have pretty much settled on Ohio. My target demographic is C class neighborhoods. Not a war zone where everyone is section 8, but not a "nice" neighborhood either. Looking at single family homes in the $30,000 to $50,000 range. I've heard it can be difficult to find a manager willing to manage lower end rentals because it is not worth their time. What price ranges do you guys deal with? Also what kind of rent could I expect to get in this price range. I've been looking at Cleveland, Cincinnati, Columbus, and Dayton.