I do not live in that State, but I've been asked to provide information for someone who does. Anybody know of a traditional chapel not under diocesan regulation, that is proceeding with the sacraments? Preferably in the general Chicago vicinity.
Yeah, you hit a real dead spot there.
There used to be several chapels served by Bishop Slupski (R.I.P.) in the northern Illinois/southern Wisconsin area. But since he retired, and later died, there are that many fewer Traditional/independent priests in the area.
All the Trad chapels I know of, within a 1 hour drive of northern Illinois, are a few SSPX chapels:
Mukwonago, WI (outside Milwaukee)
Madison, WI
and
Oak Park, IL (near Chicago).
And there are Indult options such as Institute of Christ the King, but those aren't an option for many *Trad* Catholics, trying to stay aloof from the false church of Vatican II.