For a basic moisture-wicking face masks, I personally recommend Masks Made Here ($20), — I've taken mine on a few runs, and while I'm not getting any personal records out there, the wickaway fabric is much gentler on my skin and makes it a little easier to breathe. (The toggles on the straps help, too — I may be moving, but this bb doesn't go anywhere.) There's even an exclusive BuzzFeed code right now for 20% off (enter BF20OFF at checkout).
Athleta also has face masks (five for $30) made of polyester and spandex with a cotton liner that customers are praising for wicking away moisture, although those are on backorder until early July.
For bamboo fabric, right now Etsy's a great bet. Here are some shops you can check out that ship within a few business days of your order:
☀️ Etsy shop Bamboo Is Better is selling bamboo fiber face masks with pockets for filters for $24.99 (available in seven colors and three sizes, including kids)
☀️ Etsy shop Seville Co. is selling black double-layered bamboo face masks for $10.99+
☀️Etsy shop Room 308 Boutique has double-layered bamboo and cotton blend face masks for $11.49 (available in five colors)
You can check out other bamboo face masks on Etsy for more options.