well, you're getting some contradictory information here, so I'll throw my experience in. I have a beard but have never experienced this problem. My sense of rotating to breath is that one should try to do as much of it as possible with shoulder rotation and minimize the extra head rotation that is needed in addition. If you're hitting your chin on your shoulder, then you seem to be doing a lot more with the head and a lot less with the shoulders than I do.
There's perhaps a caveat here. If you are racing, you might want to minimize shoulder rotation to up your stroke rate. I'm a creature of comfort and I usually swim at paces that generously allow me time to rotate.