Below is a map to Private Schools in the Coralville and Iowa City area. When you click on the individual schools you’ll get data from the public records. If you’re relocating to Coralville or Iowa City and have no idea about the lay of the land, clicking on the town boundaries will provide you with data about the area. (Population, demographics and that kind of thing).
For contact information and links to school websites you might want to check out the following post: Private schools in Iowa City and Coralville.