ODNR operates 5 Class-A, supervised shooting ranges across Ohio. Details regarding each range can be found on ODNR's website (Google 'ODNR shooting range'). While ODNR's website has great information about each range and its surrounding wildlife area, it does not have the exact address for each range; only the address for each wildlife area's headquarter is given. Hence, I used Google Map to locate their GPS coordinate and then re-confirmed with Bing Map.

Delaware (Current as year 2015, new range's entrance will be located further east from current one on State Route 229)
40.433647, -83.048335
Grand River
41.401929, -80.913985
Spring Valley (This opens year-round)
39.583528, -84.008038
Deer Creek (subject to flooding)
39.661105, -83.263990
Woodbury
40.255162, -81.990658

With exceptions, Class-A ranges operate from 09:00 to 17:00 Wednesdays through Saturdays, 12:00 to 17:00 on Sundays. They are closed on Easter, Memorial Day, July 4th, Thanksgiving, Christmas Eve, and Christmas Day. All ranges stay closed from January to February, except Spring Valley.
A range permit is needed for range patrons ($5 per day, 24 per year); permits can be purchased anywhere Ohio hunting license is sold, including the license sale website.
Only paper targets are allowed; also rapid fire is limited to 3-round burst.
I hope this is helpful to people who are new to ODNR ranges.

FWIW, at Spring Valley rapid fire is prohibited outright. Some gal was ripping off bursts from her AK and it brought the ROs out of the den. Fortunately for her it was a crowded day and they couldn't tell whodunnit.