Dinner under $30 near State & Ohio?
Quartino is only a block north of there. It is definitely one of the best food/wine bargains in the area. You could probably get dinner and a few glasses of wine, and still come in on budget.
626 N State St
Chicago, IL 60610
Although I haven't been there for a while, Chicago's only Armenian restaurant, Sayat Nova, is always fun (albeit a little "quirky"), with good food at very reasonable prices.
Sayat Nova East Armenian
157 E Ohio St
Chicago, IL 60611