This is my favorite. It's wool.
In warm weather I will wear a do-rag. In middlin' weather, or when it is sunny, the ol' fedora gets the nod. I don't like a lot of hat either, but a brim is nice on a sunny day, and hair gleams and glistens, so a covering is good. Mine is long, so if I don't braid it and cover it, it will be a wild birdsnest after a couple of hours in the woods...plus full of twigs and stuff.
This one is a "Radar" hat from the surplus store. I turned it around backwards to shoot.
Killdeer