Hey Martti!
I talk to a LOT of out of state investors looking near my hometown in the Akron/Canton area, as well as places like Cleveland, Toledo, Dayton, Columbus and Cincinnati. If this is your first out of state deal, make sure to have a solid team in place. Finding a reliable contractor for the rehab portion and then a good property manager once it's rented seem to be the biggest issues for those who aren't local.
From the financing side of things - keep in mind that conventional cash out refinances require 12 months of seasoning in order to use the new appraised value. You can bypass the longer seasoning requirement with a debt service loan. OH is one of the states where lenders sometimes require that you buy out the prepayment penalty, which in turn will increase your rate and make it more difficult to cash flow. Contrary to what some say, this is NOT a state-wide requirement, it is lender dependent. Your LTV will also affect your rate. Debt service loans typically max out at 75% LTV for cash out refinances, but some lenders allow 80%. You will see a higher rate with that increased leverage. Just a few things worth considering.
If you have any questions, feel free to connect!