Songsuckers were invented in Mudcat Fiction as one of the enemy in the Mudcat Enterprise series, but a focused story about them is in order. In that case one of them was defeated by pummeling it with schmaltzy music until it went crazy -- Volare, I believe it was.
Highly effective, and saved the life of a winsome lass, IIRC...

I don't see why the presence of a black hole shouldn't set up some kind of oscillation in the surrounding space, although how they reckon sound waves travel through the near vacuum of inter-system space is certainly a question.

A