Bowling Green is a small town, so there isn't much to it.
It's all pretty safe, especially near campus/downtown, but if you're trying to get away from the Undergrads there really isn't any place to go. Everything around campus and downtown is taken over by undergrads, as are the student complexes (falcon's point, edge, copper beach). If you really want to avoid them, you will have to live in Perrysburg and commute (it's about 10 minutes). The next bet would probably be stuff beyond downtown, near the Kroger on Main/Poe.
Unfortunately none of those places are walking distance. Anything within walking distance of the university will have a strong undergrad presence, but hopefully next year will be more bearable with the fraternities moving back onto campus.
Call one of the management companies, Mecca, etc. They can help.