You Can't. They won't issue you a ORD SIDA badge unless your based in ORD.
That's the word I got from the Badging Office.
You might want to try some of the hotels in the ORD airport area.
A while back(couple of years)some were only charging $30-$45/month.
I use the AMC Lot on Montrose and Manheim. There is a free bus for employees that runs to the terminals every ten minutes. I got my pass through the US Air office which is upstairs above the US Air ticket counter in terminal 2 ... right next to the airport chapel. Go up there and ask margaret if you can buy a pass.