Cannot go wrong with Black Cat but realize Black Cat Classic is a misnomer (I.M.O.) as it is not the same (nor even close) to the Black Cat that was available ~ 5 years ago (senior H-B members can give you better estimation of time change). Here are three links from senior H-B members (first two describe Black Cat Classic and third link Black Cat Analog):
Favorite Espresso Blends 2010Intelligentsia Black Cat: June 2011 iterationNew Intelligentsia Black Cat tomorrowI've been recommended by Intelligentsia customer service to try Black Cat Analog and told it is more like the older Black Cat. I have yet to try Analog at home as it's in the "on deck circle" (in deep freeze storage while I finish my current blend).
Of Intelligentsia's Chicago storefronts, I prefer the Broadway Street location: most seating & best chance for street parking (i.e. avoid parking lot fee). Also since you are from out of state, you may like walking around the Broadway Street, Belmont Street, Clark Street, Diversey Street areas.