Nick said:
Why is the reception so bad?
Ground conductivity. Long Island is a 100-mile sandbar.
Anyone who listens to AM radio on the East End listens to the big New York signals, 660, 710, 770 or 880. This was true in the Golden Age and it is true now. Arbitron surveys for the Hamptons prove this.
Ironically the 2 strongest AMs in that area are from New Haven, WELI-960 and WAVZ-1300. Both are nondirectional during the day and aim the main lobe SE at night. Long Island Sound helps enhance their groundwave.
I grew up near Sag Harbor and still have family in that area. I was fortunate to hear WAVZ in its 60's and 70's heyday. Until the mid-70's I wasn't even aware that WAVZ only ran 1 kw day and night -- that's how loud it sounded.
WRIV-1390 from Riverhead is the only local AM remaining in the East End. It runs 1 kw nondirectional during the day but goes down to flea power at night.
Atlantic City is a non-factor -- most AM stations from AC are on graveyard channels.