Tapestries in Chicago

I'll be heading to Chicago next week for a show. In fact, it's Coverings 2009 , which is the "ultimate tile + stone expereince". Most everything workwise is squared away and am now looking at other adventures I may undertake. For example, Mary Poppins is playing at the Chicago Palace theatre and the Symphony is performing Bruckner's 8 and Shubert's Great Symphony. Those are my evenings and the only chance I have for many museums is before 5 on Monday. There's of course a number of museums and I'm hoping you all have leads on where I can see some tapestries??? The Art Institute of Chicago has a number of historical textiles - even the modern yardage most recent is 1920. I'm not finding any textiles at the Museum of Contemporary Art. Got any other leads?