Morrison is out in Newark - not too far away. Deer Creek (a bit south of the City) has a decent and free archery range with conventional targets (10 - 40 yards in 5 yard increments, if I recall correctly) and an "archery trail". I think there are 14 or 15 targets at intervals along a pretty trail - kind of fun and the price is certainly right.
North of the city, close to Delaware, a retired Marine runs a sporting goods shop ( Delaware Sports Center - 4059 Oh-37 E, Ste C, Delaware, OH 43015 ) that, while it's not really a trad shop, typically tends to have a fair number of recurves and longbows.
If you plan to stump shoot on anything other than private land (and maybe even there), you probably ought to consider purchasing a small game license. I think you can get a 3 or 7 day one ( the odnr site would say for sure ) and groundhogs, coyotes and wild boar (if any) are always in season.