Cheap car rentals from Midway Airport?

I hate putting a question in this forum because it doesn’t get a lot of activity, but here goes: I’m looking for a cheap car rental out of Midway Airport for next weekend, Thursday through Sunday. O’Hare has Ace, which is a lot cheaper than the others, but I can’t find anything for Midway, which is where Southwest flies into. Anybody have any tips? (I’m staying in Rogers Park.)

I’m not aware of any discount car rentals at Midway, but you can take the El from Midway to O’Hare if you want to spend about an hour and a half to get to Ace. Orange Line to the Blue Line, change at Clark and Lake. Cost you $2.25.