Nose Guards For Particulates
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Just like a "Breathe Right" glue strip you could create a bandage-like nose guard that is breathable but doesn't let in allergens, hair, or drool - only clean air.
They just stick around the bottom of your nose with holes in cotton fiber glued up around the nostrils where the bandage glue part keeps them in place. Also nice to wear outdoors.
We have full face masks and similar coverings made of cotton fiber, but these are too big and uncomfortable to wear at any time. These are small and take up only the small end of your nose like little comfortable cotton tents around each nostril.