Is there such a thing as a sunhat that I won't look stupid in?

[Lio]

Not a baseball cap because my neck will get burned at the back. Ideally cotton or something else that can be stuffed in a bag for when the sun goes in. My old one is something like this but I am open to suggestions.

I really like Tilley hats - especially this one - but they are expensive

I have this one but in blue
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It tends to cope with being stuffed in a bag and i think its quite flattering!

uniqlo v good value. they've got a couple of other styles in the shop if you are in central london.

Thanks everyone, plenty of ideas to protect my ridiculous pale skin.