I've been looking since the end of August. I'm frustrated too but don't get upset over it, just take one day at a time that's what I'm doing. You never know what the new fiscal year will bring, hopefully more open positions! Right now I'm looking into a suburb hospitals like St Alexian brothers, it's about a forty five minute drive from the city with traffic. I suggest you do the same if you're not already, just get your resume out to as many possible hospitals as you can. When I google Chicago hospitals, clinics, doctor offices it always gives me an endless amount of results so just get your resume out there.
Hope everything starts to look up for all of us wandering grads.