I am from Detroit myself and know how it feels to move from there to Columbus. Right now there are a few homes in the North Linden area (43224) that are available in your price range. If you haven't already started to work with an agent please contact me at 614-805-7404.
If you are coming from Detroit, then " FRANKLINTON", is more of the same of the run-down parts of Detroit. That is not an ok place to buy into, unless you are throwing money away. Dont do it. Keep looking around. Maybe try the Near East Side, close to the bridge that connects to the Columbus State Community State College. That area is changeing fast. Or the Huge, old houses around Franklin Park , headed towards downtown. Good Luck,