The Herbert Hoover National Historic Site, just east of Iowa City, would be a good start. Slightly more off the interstate (80), and on US-6, are the slightly commercialized Amana Colonies, which are just west of Iowa City.
Somewhere in either Illinois or Indiana, you might want to find some Native American mounds, such as the ones found in Mounds State Park in Indiana. If you're interested in history, that's something usually worthwhile.
Donna