If you like shopping, take time out to go to Woodfield Mall when in Schaumburg. It's also full of great shops and restaurants, so you can spend the afternoon having a wander.
Schaumburg Medieval Times is 2.2 mi (3.5 km) from central Schaumburg, why not stop by during your stay. If you enjoy the show and want to see another, AMC Streets Of Woodfield 20 isn't far.