<<Disclaimer: Verify this information before applying it to your situation.>>

Thank you to all who responded.  Sorry this summary is a bit later than
expected.

It seems Vinci's on North Halsted, phone 312-883-9665 or 773-266-1199 was
listed the most.  They apparently have a GF menu.

Also mentioned were:

Flat Top Grill where you pick out your own ingredients and they cook in
front of you.

Kooba, a cuban restaurant (head chef has celiac)

P.F. Chang's on N. Wabash, also has a GF menu, phone 312-828-9977

Cafe Ba-Ba Reba on N. Halsted has a GF menu, phone 773-935-5000

Weber Grill on N. State, phone 312-467-9696

Thank you again for all the help.

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