I'm the opposite: I cannot concentrate well at all if I am playing music, especially music with lyrics. I can, however, work with nature sounds, voiceless electronica, and soothing melodies.

Personally, I think you should continue doing what works for you. It sounds like you benefit from auditory stimulation in general, so I wonder if you just immensely dislike quietness? I know you do mention that your head is "loud" quite a bit on this forum, so I wonder if you're just trying to drown that loudness out?