From niche.com. Listing only the Top 15 here and the net cost to attend.
https://www.niche.com/colleges/search/best-colleges/s/ohio /
1. Ohio State (19,747)
2. Case Western (38,166)
3. Kenyon (38,927)
4. Dayton (29,933)
5. Cincinnati (20,877)
6. Denison (38,833)
7. College of Wooster (24,934)
8. Ohio University (20,496)
9. Ohio Northern (25,006)
10. Cedarville (25,380)
11. Miami (24,616)
12. Oberlin (44,689)
13. Bowling Green (16,684)
14. Baldwin Wallace (26,577)
15. Kent State (18,947)
OSU I think is up there because of costs and Big Ten membership is a good sell for parents. Bowling Green is doing well lately I believe on cost mainly.
Ohio though is ranked ahead of Miami which is all that counts.