Not so sure about Bowling Green but the last time I was in the area they had some gamers and a few conventions as well. I'm mostly out of Louisville so I will give you the little bit I have about gaming in my area and perhaps someone on these other boards will have a bit more information for you.
I graduated from Western Ky U. (Go Hilltoppers!) in 1994.
There were some scattered gaming groups on campus at that time, but not one actual organization. You should check around campus when you get to the area and see if they have a Gaming Organization now. I'm sure they won't mind if you aren't a student, I know my group didn't.
Also, I don't know if it's still there, but there was a game store/used CD shop called Pack-Rat's back in the day. If it's still there you might bump into some gamers, or see a posting for players.
Enjoy Bowling Green and good luck with the game hunt