The Mobil1 by my house has a touchless. Check out some Mobil 1 stations as they might too.
Also there is one in Morton Grove right on Dempster and Milwaukee. Its called like Chicagoland wash or something.
Schaumburg has one called Busy Bee on Golf and Higgins. This has to be my favorite one but its a little too far for me because by the time I get back home, the car is dirty again.