Case Western Reserve University has a list of hotels that offer a special rate (mention the Case Western Reserve University when making the reservation rate):Case Western Reserve University Travel Services
In particular, InterContinental and Glidden House are very close to campus. Mariott Residence Inn is also conveniently located around 15 minutes drive from Campus. There is a cluster of other moderately priced hotels around Mariott Residence Inn (search your favorite travel site for hotels in Beachwood, OH, USA), and they typically offer free parking.
TRAVELPublic transportation can be used to get to the University from the airport:
Both the airport and the university are on the "Red Line".