[QUOTE=BobLibDem]
Here in Michigan if I leave the radio on our local PBS station (WKAR 870) and come back at night, I can get WWL New Orleans quite well.
Do FM waves behave differently? How far apart do FM stations on the same frequency need to be?
[/QUOTE]
They really are different systems all together, with the FM & AM frequencies being very far apart in the firstplace.
AM operates in a band of frequencies around 1Mhz. The band runs from 520–1,610 kHz. Channels are 10kHz apart. It’s really only good for voice, as the bandwith is thin, and the frequency, and modulation technique are prone to noise. It operates via ground wave propagation, AND ionospheric skip.
Boston’s WBC 1030 AM is 1030 kHz, or 1.03 Mhz. (It also happens to be a clear channel station, in that it’s the only one on that frequency, and they utilize it to the fullest. Folks often call in at night from as far away as Alaska… not often, but it can happen) I once got a much smaller station in Boston, WRKO 680 when I was working in Augusta GA. I tuned the car radio at night, and there was the show I wanted! 
FM Operates in a band about 95 times higher. 87.8 to 108.0 MHz is the band, with channels being offset by 200kHz (.2 Mhz) in the US. Channels on the odd decimal.
FM carries a lot more information, and is less prone to noise due to both frequency, bandwith, and modulation technique. It’s higher frequency does not tend to skip on the ionosphere. It propagates via ground wave only.
I’m not one for wiki posting to answer a question, but this one is fairly complete, though basic, and does a better job than I would.
AM DXing is fun if you’re driving around at night. I often listen to NY stations in the car, and I’ve certainly heard some funny accents (Quebec & Other parts of Canada, and the south) while trying to find something to listen to out in ‘the sticks’. Sometimes the signals don’t last long, but it’s fun to try and figure out just where the station is.
Southern Yankee, which station, and where is it? We might be able to dig more out with regard to the station. I personally have a station that I investigated the signal from. It’s in Manchester NH, and in my home, 20 miles East from the transmitter, I get horrible signal. If I go to Boston (35 South), I get clear coverage.