Chitown: Daisy Dooks does sound like it could be good. The Davenport clubs under consideration are all BYOB, however Southern Comfort is outside the city and doesn't admit 18-20 year olds, which might make it more to your liking. I still recall it being rather rowdy. Your cuff links might draw some uncouth remarks.
I wouldn't be too dissuaded by the reviews of Amsterdam, since most of the badmouthing is from one guy who felt jilted by a stripper there. It's kind of funny to read his saga of Summer in sequence:
10/24/05: "There are beautiful women here. one that really sticks out is summer. the blonde gorgeous women that works during the week. i tell you guys she is the one to go see."
12/29/05: "The owner needs to clean up the place a little and get rid of some of the girls bringing in the getto crowd. ... I have only three girls i will spend my money on and that is Summer, Serenity, (formaly Daisy), and Destiny."
2/4/06: "The owner better watch what is going on there in his club or risk getting shut down by the city. The girls name is Summer. She is still married and living with her new boyfriend. So guys dont waste your money on her."
So, I'd say to try So-Co first, then Daisy Dooks, then if all else fails, head to Amsterdam and look for Summer.
As for Big Al's I might want to try it if I'm ever in Peoria, but I wouldn't expect you to enjoy it, Chitown, because everyone says the dances are one-way contact only.