I'm pretty sure Center Court is part of the tour. If not then ask an M1 or M2 if they can show you around after 2nd look day, I don't think it would be a problem. In the mean time I'll ask some friends and see if they'd be willing. (I don't live in Center Court).
People like the MD apartments, but they're pretty expensive. Nice thing is it has its own gym on the ground floor.
If you do a google search for Rush Academic Calendar you get
this page which has PDF versions of simple calendars for the next few years. Unfortunately they don't show when the mid-terms are but my guess is either the week of Oct 13-17 or Oct 20-24. I think they final decision isn't made until a few weeks before the quarter begins.