The group I work with is Buckeye Search and Rescue dogs. Half our members are near Dayton and half are near Cincinnati. I know there are a couple of groups closer to Columbus, but I don't know them very well.
Central Ohio Search & Rescue group is one I've heard of and another is K9 Response Search & Rescue. I can not speak to what those teams are like, just that I have heard of them and they are both near Columbus. You can google them for more info.
Good luck!