There are several airlines with domiciles in Chicago.
Regionals:
SkyWest
Air Wisconsin
Envoy
Republic
Trans States
GoJet
Expressjet
Low Cost:
Frontier
Spirit
Majors/Legacies:
Southwest (Midway)
United
American
Cargo: Atlas (the hiring requirements are now 2000 hours total time, 500 turbine)
All of the regionals will hire you yesterday. I know guys with half the flight time as you and very little jet time that are getting calls for interviews at Frontier and Spirit. Some of the regionals will hire you and your checkride in the simulator is when you get issued your FAA ATP (even for the foreign guys. SkyWest has been doing this for the Australian pilots).
The majors and legacies will take quite a bit of effort to get hired but it isn't out of the realm of possiblity (depending on your other qualifications such as having a university degree, etc).
If you have questions, you can PM me. I work at one of the airlines mentioned above.