North Shore Country Club is an 18-hole private golf course in Glenview, Illinois, built in 1924 and designed by H. S. Colt & C. H. Alison. It sits in the $$$$ (splurge) price range for golf in Illinois. The season runs Mar 1 to Dec 31 (closed on Mondays). Tee times can be booked 7 days in advance. Play is generally limited to members and their guests.
Details like fees and seasons change, so call the course before you head out.