I find my playlist Monday Morning Chill is great for writing/ reading too - Perfect acoustic instrumental/ ambient folk playlist for your morning routine. Wake up and relax with a coffee to some of the best instrumental folk around. Feel free to give it a follow and share :)
I don't write poetry or fiction, but I write code. Just like you, I can't use music in the background that distracts too much. Therefore I listen to a lot of instrumental and ambient music that don't have beats that flow in the background, but still sounds interesting.
I have two playlists with this kind of music that I like to listen to. The first one is Ambient Encounters, which features more abstract and electronic music. The second one is Instrumental Ambient, that has instrumental music, but with an ambient touch. It's more composed and instruments are more recognizable.
Maybe there is something on these playlists that interests you.