Shoreacres is an 18-hole private golf course in Lake Bluff, Illinois, built in 1919 and designed by Seth Raynor. It sits in the $$$$ (splurge) price range for golf in Illinois. The season runs Apr 1 to Nov 1 (closed on Mondays). Play is generally limited to members and their guests.
Details like fees and seasons change, so call the course before you head out.