On a side-note, I'm currently picking up a sports talk radio station right now through the amp. . .
Happens every once in awhile.
Ahhhh................. OK,
that problem then. It sounds like it could be your guitar amp, your guitar, or both. I use a little Ampeg BA112 practice amp at home. I can turn it on with no bass cable plugged in and the volume control all the way down and I hear an FM Station. I
think it's because the amplifier is unshielded. I know the bass is unshielded. But I can put a shorting plug on the input jack of the amp, turn the volume all the way down and I still hear the FM station, so I'm pretty sure it's the unshielded amp speaker combination. I probably need to open it up and put a RF tuned zobel network on the speaker.
Anyway, maybe you have a similar situation. Unshielded pro audio gear

. If you have easy access to the speaker you can try a zobel network on it for pretty cheap.