Hi, fellow writer who doesn't finish things.
A post-apocalyptic setting can entail all sorts of moods. My initial idea was
Noctilucant. Their music is very droning, desolate, and sad. End-of-the-worldy.
As for bops to write to, it's hard not to recommend Celldweller, particularly
Soundtrack for the Voices in my Head Vol. 2. In a similar vein, Black Tiger Sex Magic's
New Worlds is literally a post-apocalyptic concept EDM album that predicted covid (read the description in the video and you'll see what I mean).
Swans is a good choice for me since the songs are longer and easy to get sucked into. Something about their albums
Cop,
To Be Kind, and
leaving meaning. helps with the writing process. They all sound different from one another.
My main project right now is high-fantasy, so most of what I listen to probably wouldn't fit with the atmosphere or time period you're writing. If I come up with more I'll name them.