You can do "on race track" driver's schools with Midwestern Council and NSSCC without having to do autocross. (Mostly at Blackhawk Farms Raceway in Rockford. However they do have an event coming up at the Milwaukee Mile (Oval track w/ infield road course. ) They'll be the first on the re-opened track. They also have an event cming up at the Autobahn in Joliet.
http://www.nsscc.com/
Also, as discussed in an earlier thread in the WCCC forum: N.A.S.A (National Auto Sport Association) now has a midwest division. I just did two of three days at Road America doing their HPDE - High Performance Driving Event which is esentially driver's school. (We could sign up as a group.) The event at Road America was terriffic. Great insrtuctors, more track time than you can imagine. I did somewhere 'round 260 miles of high speed (race) driving in two days all with excellent instruction available. They have an event coming up at Putnam in Indiana and another at the Autobahn amongst others and will be returning to Road America too.
http://www.racenasa.com/
The costs are generally 'round $200 a day less per additional day for multi-day sessions.
Great fun!
dm