What radio are you using?
Fades at the top of the hour are pretty common. It always happens -- you get a steady signal riding on top of the mess and then right when you think you're going to hear the local commercial (mentioning something local, to help you ID the station) or a top of the hour ID, another station (usually network news or network sports) takes over, covering the ID.
To DX the graveyard channels, you need patience.
Also, depending on the model of Radio Shack radio, you may want to get an external loop to boost the signal, which may also help. There are several Radio Shack AM-FM-SW models that are great radios, but the AM side needs a loop to boost it. I think it's the bandpass filter in the circuitry to keep AM from bleeding over into the SW bands, I think it decreases the MW sensitivity a bit.
The Radio Shack digital portables I know of that have the hottest MW performance are the DX-375 and DX-398. The other ones are very good, with decent sensitivity and excellent selectivity, but for some reason the MW side needs a bit of a boost from a loop, at least if you live in a low signal area.