Bring in the bunny!
My headphone/microphone combo makes a squeaky popping noise on occaision as I’m doing recordings. I tried loosening and tightening, gripping one part or the other. But the solution was right in front of me all the time.
So I did some recordings tonight with a stuffed brown rabbit wedged between my skull and the headphones. Steve didn’t even notice.
I have heard your music, you should have stuff it between your mouth and the mic.