"I think I can fetch it on the web here in the Chicago suburbs. Is that anything like the DXing you refer to?"
Traditionally, DXing is listening to distant, out-of-market radio stations *with* a radio, like what many people did (still do) with short-wave. For example, KKSL 1160 broadcasts from Salt Lake City, UT (several thousand miles from here in Portland over rough, mountainous terrain!) but at night I can often copy it very clearly here, even though the station is not targeting the Portland area at all. In fact, this is one of the reasons Ibiquity's digital radio system (misleadingly known as "H.D. Radio") can not work on the medium-wave (AM) band in its current implementation.
I don't know if KXL penetrates the Chicago area at all or not, you might try tuning in 750 AM late some night and see. Unfortunately you may have a difficult time doing it nowdays, because of the multitude of AM stations clogging up frequencies. ("Honey, which station shall we listen to 'Coast To Coast' on tonight?" ;o) Thirty years ago (from what I have read; I am in my early 20s) it could have been an easy task, even fifteen years ago (pre-1996) maybe, but nowdays you'd need a steady hand and patience.
I guess in a somewhat distorted sense of the term, web radio could be considered an odd form of DXing since you can listen to radio stations from other areas of the world with it. ;o)
"So the folks in Hawaii are three hours behind you Oregonians and Yukonites. I wasn't sure...thanks for setting me straight MotoMuzak."
You bet.