Happy to see you're just as amazed by the forums here as I am. It truly is a wonderful community and resource.
As for investing in Ohio (Cleveland specifically), you say in your criteria that you want a "good location with a booming population, and with an improving economy" that really doesn't describe Cleveland. Cleveland is such a good investor city because of it's relatively cheap houses for good cash flow, but it is far from booming. If you haven't looked at Columbus, I highly suggest you do, as it sounds like it may be more in-line with your goals. I don't want to turn you off from Cleveland too much though! It still has some of the best cashflow per dollar in the country in a larger city, and 250k can take you further here than mostly anywhere. If you're going to invest in Cleveland then you'll need to be specific where you buy if you're searching for a chance at appreciation (which is what it sounds like you are with your criteria). If you need any help with anything related to Ohio, do reach out! Best of luck.