Get yourself a set of sunglasses of which the actual glasses can be replaced. Popular low-cost sets have 3 different colors: black, orange and transparent. The black block 90% of the light, the orange about 40-50% and the transparent 10%. That 10% is negligible for sight, but does keep the dry air away.

I usually wear them while biking, which seems like a comparable situation.

Get yourself a set of sunglasses of which the actual lenses can be replaced. Popular low-cost sets have 3 different colors: black, orange and transparent. The black blocks 90% of the light, the orange about 40-50% and the transparent 10%. That 10% is negligible for sight, but it does keep the dry air away.

I usually wear them while biking, which seems like a comparable situation.