I've had good luck with Henschel Hats. I have a cloth "Breezer" with a mesh crown and a 3 inch brim. It's nice and cool and pretty resiliant. I've had mine several years and it's been submerged in pools, creeks and oceans. I lay it out to dry flat and it's good as new. However I did eventually buy a hat stretcher to dry it on because it was starting to get a bit snug.
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Greg S. (lurker turned newbie)

Knowledge is realizing that the street is one-way, wisdom is looking both directions anyway.