When rolling down the road, you are actually creating a sort of vacuum (low pressure area) behind the windshield. If you can find a product that breaks this vacuum, without directing the air up from below, or whistling, you will be good to go. I simply braid my beard before riding. I'm basically lazy, and have gotten pretty good at doing it without a mirror.
BTW. This is the source for much of the turbulence in the hat/helmet area, also. What you are experiencing is one or more vortices, traceable to the edges of the effective wing, formed by the fairing and/or windshield. The best you can hope to do is move, or distribute, the vortices differently, as is done by a variety of baffles/deflectors and windshield curve profiles. Smoke lines in a wind tunnel will reveal that you actually have a dominant vortex spinning horizontally, right in front of your face. You are actually seeing the same air more than once. Break that and you are good. How to break it is a nice trick, without the wind tunnel. Don't try it while riding.
Just my 2 cents, but it might help in looking in effective directions.
Good luck,
Rich P