I love music so very much. It has a magical ability to affect our moods and thoughts.
So it's natural that we'll come up with different kinds of ideas when listening to different types of music.
The main point of a creative thinking workout is to create conditions where we think of ideas we wouldn't have otherwise. And that's what we'll do via a "musical brainstorm."
It's an easy one. Block off 30 minutes to attack an important challenge. (Or however much time works schedule-wise. Remix this approach, as needed.)
Then build a 30-minute playlist with radically different styles of music. Especially if some of them are unfamiliar (or even unlikable).
Ideally, switch it up every 3-4 minutes or so.
A helpful, but not-even-close-to-exhaustive list of possibilities:
Classical Music
Instrumental Jazz
Lo-Fi Music
Upbeat Pop
EDM
World Music
Psychedelic Music
Heavy Metal (or try Death Metal for something really different)
Blues
Film Scores
Folk
Hip-Hop
Minimalist Classical (e.g., Philip Glass)
Oldies
Acoustic Guitar or Piano
Reggae or Ska
Indie Rock
Opera
Bluegrass
Silence or White Noise