Why, you call up the hospital and ask!
All I mean by "nurse recruiters" are the folks in charge of looking for new nurses, whether they go by that name or not. Most places have someone who is in charge of finding and hiring new nurses, specifically.
This is not the tiome to be shy. The best way to find a job that will fit your needs is to call the hospital, tell them your are interested in getting information on positions that may be open to new grads..when they get you to the right person, let him/ her know your situation and see what they may have to offer. In Ohio right now I think you will find it surprisingly easy to get in at a hospital somewhere.
Happy hunting.
Don't forget to use the web to scope out potential employers. Many of the larger hospitals offer information on their nursing department and new grad programs right on their web-sites. You may also be able to do on-line applications.
I'm up in the NE, so I can't really provide any info for you on specific hospitals in your area.
Don't wait around on classified ads...your not likely to find them. I mention that because I've run into a few people who assume the hospitals aren't hiring because they are not "advertising".