Now that you know what you are looking for, I think you'll find Lindeman's framboise taps in many of the good beer places around Chicago.
As mentioned, MapRoom almost always has one fruit/lambic beer on tap, and usually its Lindemans Framboise.
Piece always has Framboise on tap and I've seen more and more people doing half and halfs with it (either with a wheat, or as I prefer it with a chocolate stout, roasty porter, or imperial stout -- some people call it a chocolate truffle.)
Sheffields had the Founders Rubaeus over the summer (not sure if it is still there) which is another similar beer.
I third the suggestion of New Glarus Raspberry Tart and it is indeed a good reason to take a trip North as they no longer distribute in IL.
Also look for Founder's Blushing Monk which is very similar in profile to Lindeman's and New Glarus (and you can still get Founders in Chicago).
cheers
GW