Baseball cap for summer and mild days in winter.
It's a Morgan one now faded but does the biz.
Never blown off but has a clip for attaching to my collar " just in case".
I also have a white flat cap, Morgan bobble hat for Morvan charity North Cape run, furry trapper hat from Estonia( fake fur).
Haven't tried a knotted handkerchief yet though...
That sounds like the collection I have. M&S trappers hat for winter, bobble hat for when it not sunny, Morgan cap(s) for when it is sunny.
Even if I wanted to wear a cloth/tweed hat (which I don't)

my head is the wrong shape for them, they either sit on top of my head like a frog, or slide off.
BTW my half full pint is always dark and hoppy, Fullers 1845 bottle conditioned if JTL is listening.