Contact Autobahn Country Club (in Joliet, Il) directly.
They may have outdoor karting and/ or BMW's available for arrive and drive. (Or bring your rental car.) (I can't negotiate their fancy new (activex) website.)
http://www.autobahncountryclub.net/
Or: Ride in or drive a NASCAR (based) race car:
May 15th -19 Richard Petty Driving Experience at Chicagoland Motor Speedway. (NASCAR & Indy car oval)
http://www.1800bepetty.com/experienc....aspx?LocID=CL
http://www.chicagolandspeedway.com/
Have fun! Let us know what you decide and how it goes.
For watching Sportscar Vintage Racing Association will be at Road America in Elkhart Lake, Wisconsin
http://www.roadamerica.com/races_scvr.htm
And driving, a bit farther, NASA will be at Putnam Park near Indianapolis, Indiana. (Bring your rental car.)
http://www.nasamidwest.com/