Dorsetjoy,
Have been to the Green Mill a few years back and agree its good and very close to the Lawrence stop on the red line if i remember correctly. Did anyone tell you its a place Al Capone visited on a regular basis back in the day.
There are a few other good music Clubs close to the hotel (walkable) that i'm considering.
Which night did you visit Kingston Mines as thats a included excurrsion was it the tuesday as planned ?
Did you visit the smaller Blues Club (B.L.U.E.S.) over the road from Kingston Mines ?
Its really tiny but gets some of Chicagos top acts when they are not touring, will check schedule before i go.
Mick