I like to have multiple masks/bandanas near me to try out depending on how I'm feeling. My favorite is a cooling neck gaiter, it's very soft and reasonably breathable while still fliter-y, and wicks away condensation and sweat and makes me feel less panicked about having something on my face. I ordered this one but there are many similar ones available.
https://www.amazon.com/dp/B00JE5FGK6/ref=cm_sw_r_cp_apa_glt_fabc_1DHJDVEHF38CER19VN00
You can get them wet or even freeze them and it really helps in hot environments