Hi OP,
Please ignore me if any of this is not news to you, but buoyancy is one of my favorite subjects
Your website made me think of one of my favorite movies 'The Big Blue.' In the movie, one of the divers uses a vintage cressi? mask and modifies it (or an insert was available at the time) to reduce the volume of the mask by displacing the air with a more dense material. The purpose for a free diver is to reduce the volume so they can still clear/equalize their mask as the volume of air in their lungs compresses due to depth. This would also accomplish what you're looking for, a smaller buoyant air space on your face.
Food for thought?
Another helpful thing for me when thinking about buoyancy is the physics of multi-particle/multi-body systems. If you can break your system into individual bodies and identify their centers (CG, buoyancy, center of pressure etc. because they may not be co-located), you can decouple them and address them individually. For example if you're concerned about mask buoyancy, deal with it as its own system and make it neutral instead of eliminating all air out of it. If the mask has a pound of buoyancy, arrange weight in such a way to counteract the buoyancy through its center(s).
Here's a reasonably good video that illustrates the point.
This is also an excellent video on adjusting buoyancy, this time for a rigid camera and housing with lights.
Ideally you would have your CG and center of buoyancy co-located so that, regardless of orientation, your position is stable. I've only seen this in some bad-ass mexican and floridian cave divers and it's really a sight to see.
-M