There is a small cluster of hotels just south of MDW (on Cicero between 65th and 67th Streets). Not sure if they offer the parking and shuttle to the airport. For LT parking, there's a lot on 59th Street across from the Orange Line transit stop. Another is Midway Park & Fly that's on 47th around Laramie (in the 5000 west area). I think both are a bit cheaper than the LT "official" MDW lots.