I have a collection of hankies/bandanas. I always have one with me to use for the day, especially on bike rides and running. Goes in the laundry at the end of the day. They are cheap and reusable.
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Gunnar Sport
Specialized Ruby
Salsa Vaya Ti
Novara Randonee x2
Motobecane Fantom CXX
Jamis Dakar XCR