I killed some time around Rush when my younger son was born a few weeks early... there's a 24-hour Au Bon Pain in the building... Not awesome, but perhaps better than the cafeteria, and better than nothing in the middle of the night. Cookies, etc. are half price after 4!
But seriously, Pompei is not too far (though I do think of it as closer than BomBon, which is wonderful). Also, a little further east on Taylor is Conte di Savoia, where I've had a number of tasty sandwiches and also enjoyed browsing Italian groceries. Further yet (walking distance is relative) is Sweet Maple, where I've had a couple of good breakfasts.
Conte di Savoia
1438 W Taylor St.
Chicago, IL 60607
(312) 666-3471
Sweet Maple Cafe
1339 W Taylor St
Chicago, IL 60607
(312) 243-8908