I can guarantee heads will turn if you show up at a bluegrass or Old Time jam with your new ChicagoCBG. There is one regularly on First Fridays at the Old Town School.
You can download a little chord book of the songs that often appear at the First Friday jam.
There is also a jam sponsored by Mark Dvorak at The Grafton on first and third Tuesday nights.
If you've never played in a jam setting, here are some tips and pointers:
http://home.comcast.net/~epollak/jam_etiquette.htm
http://www.ctbluegrass.org/jamrules.htm