So, my radio suddenly works perfectly. I decided to continue playing with the radio turned off, and suddenly I heard one of the radio songs start playing out of nowhere. There was no radio I could see, I confirmed my radio was off, and the sound was crystal clear. I kept the Pip-Boy radio off, and eventually found in game radios. These sounded just as crisp, though quieter. When I left the Taft Tunnels and emerged in front of the Citadel, I tried to turn my Pip-Boy radio on out of curiosity. And it sounds great! Thanks for your help, but it seems the issue fixed itself.