Tri State Shiba Inu Rescue is in Ohio but my experience with them is somewhat unpleasant. They're rather unresponsive towards emails or messages of the sorts. I can understand being busy because they run a rescue but I was talking to the owner of TSSIR about adopting a dog they had, he got adopted, they never posted it on their page or replied to my emails. :/ Rather disappointing honestly.
There's also Safe Harbor Animal Rescue in Vermillion, OH.