Though I've never worn a paintball mask, I believe it covers up most of the face without allowing any paint, or cheese in this case, to seep through.
The problem, of course, is the direction the cheese is coming from. If it's coming head on, you won't run into any problems. BUT! If its actually being poured, you're going to end up with a scalded scalp.
For this, I'd use some sort of wide brimmed hat. They dont look stupid like umbrellas, and they give you some sophistication.
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