I've been switching back to classical music more and more for this reason. For me it fades into background like white noise. Slightly related, but one of my favorite ways to exercise for many years has been Jiu-Jitsu. It forces presence in the exact moment, which for me triggers a mind flush. When I get done training I often immediately see solutions to problems I had been exploring.

Finally, there is a fairly new book that suggests to stop listening to things at all waking hours, "STFU: The Power of Keeping Your Mouth Shut in an Endlessly Noisy World".