I wear a boonie cap most places. Southern Arizona and I spend a LOT of time outdoors. Needs some shade 360 degrees around my noggin. Tilley makes some good cotton hats too.
Get this Barmah
https://barmahhats.com/product/1087-extra-wide-brim-canvas-cooler/
I have some of their others as well. I’ve had that one 26 years. Picked it up in Sedona. Wore it boating a hundred times in Missouri, a decade in Phoenix and still use it on the outer banks.
I’ve got dozens of hats. That is the best.