I don't think we've ever done a south side crawl.
There are definitely options, although it would involve some buses. Maria's, Skylark, Simone's, Pl-zen, maybe Three Aces.
I have suggested going up Milwaukee Ave from Armitage to Logan Blvd.
Why stop at Logan Square, the O'hare branch also hits Fischman's in Jefferson Park, Revolution in Avondale, and Hofbrauhaus in Rosemont (maybe that's too far out?). Lake Effect Brewery is off the Montrose stop, not sure if they do tours yet though.
I've always liked the Brown Line for the views from the elevated tracks... no shortage of beer options either. In addition to all the usual places, extending past Lincoln Square there's Rockwell's right off the Rockwell stop, and Golden Crust Pizza on Kedzie. They have 40 taps including 18th St., Pipeworks, and Lake Effect. HQ Beercade is a newer beer bar with vintage arcade games, right off the Diversey stop.