Chicago is the third largest city in the US and is a financial hub. Chances are you can find your way there from any top 15 school, if not immediately then after a transfer (I'm personally strongly considering Virginia, even though I'd like to end up back in Chicago one day). That being said, out of schools that put a significant number of graduates into Chicago, I would put them in tiers as follows:
1) Booth, Kellogg, Ross are the top tier.
2) Olin (WashU), Mendoza, Kelly
3) Wisconsin, U of I, Michigan State, Ohio State, Minnesota (OSU and Minnesota are not really a huge feeders to Chicago though compared to the other Big Ten schools in this list. Minnesota, for example mostly feeds Minneapolis)
4) Iowa, Purdue
5) UIC, DePaul some regional schools with MBA programs: (Lewis, Concordia, etc...)
Note there is a pretty big gap between the first and 2nd tiers. Tiers 3 and 4 are pretty close and possibly can be combined. Tier 4 and 5 have a decent sized gap as well, since these schools are stronger in Chicago than nationally.
All these schools accept the GMAT. I'm not sure whether or not they take the GRE.