Alternatives to a straw hat

Hello,

So, it is more and more evident that I need to do something about burning my head and squinting when facing in the general direction of the sun during summer.

Ideally I would wear something like a straw hat but I don't think I can, there is something about them that are intolerable to me.

The things I imagine I'd like with straw hats is that they protect face, eyes, scalp and neck (if appropriately sized) while still being fairly cool (as in temperature, not style!).

So, that's the requirements: some kind of garment that would protect my head from the sun, while not overheating my head, ideally giving some shade to the eyes, and not being a straw hat!

I don't care much for social norms but if you recommend something it would be nice to let me know if it is supposed to be worn by specific groups in specific circumstances (for example men attending sporting events) and what breaking those norms could result in.

I understand I could get sunscreen and a pair of sunglasses but sunglasses are in the same category as straw hats and sunscreen has to be replenished (both as in the buying more bottles and applying it on myself).

I'm up for different kinds of hats, hat-ish and fabrics, I just don't really know anything about them, yet!