Check southwest & orbitz.  Unfortunately, there is no such thing as a cheap flight from Chicago to Albuquerque.  I booked mine a few months ago for June 20-24, and the cheapest I could find was $340 RT, which is about $60 cheaper than anyone I talked to paid.  I'd be prepared to pay between $400-$500.  I suppose you could try bidding on priceline, but then you are at the mercy of the unknown arrival and departure times.