I am sure you will be limited. In Cleveland area there is only one. The Cedar-Lee.
In the past I have put in the movie title & the zipcode (near to release or AFTER release date) & gotten some results.
Rotten Tomatoes used to have that as part of their search but don’t think they have it any longer
Same here in Columbus, The Drexel. But, lately, the AMC 24 near Ohio State has been showing limiteds as well. That would be a perfect venue for some “higher education.”