I've been using this for 2 years now. Patagonia Spoonbill Cap. Great sun protection and I don't feel hot wearing it. Big brim is stiff and doesn't fold back going into the wind
http://www.patagonia.com/product/spo...cap/22221.html
I second that Patagonia Spoonbill, especially for the OP’s hat criteria.
Neck and face protection, check. Ears too.
Stiff brim, check. In fact an oversized stiff brim with a dark underside to reduce glare.
Quick-dry/breathabe material, check and check. The cap part has very breathable mini-perforations to reduce overheating.
Chip strap, check.
Somewhat waterproof, not a check. It dries out fast when wet, but a rain hat it is not.
Also, very, very comfortable to wear. Some of that is the adjustable fit strap on the back of the hat, which you can easily one-hand pull tighter without taking the hat off. Some is that the hat is so lightweight that I don’t notice it.
Photo note:
When I don’t need the full neck flap I just tuck it up under the adjustment strap. My sole complaint about neck drape hats is the faint rustling of the flap at my ears. A small price to pay for having uncrispy lobes.
Note II, I am not a fan of chin straps when not in use; the one of the Patagonia is attached so that I can just loop it atop the hat instead of having it dangle at my chip.
Note III, see also lightweight UV long sleeve shirt. Also Patagucci. If you have already been sunburned a time or ten in years past some UV protective clothing is worth the cost.
Note IV, those are some pale white boy knees. I had my UV lap blanket along just in case.
One common feature of folks preferred hats, crushers, Coolie’s Kavu, Kokatat/Patagonia is that they are all lightweight. I have some well worn and treasured memories leather and waxed canvas hats, and after wearing a really lightweight hat can’t stand them anymore.
We have both the 1[SUP]st[/SUP] and 2[SUP]nd[/SUP] generation of that Patagonia hat; Willie’s is the 3[SUP]rd[/SUP] gen. The 2[SUP]nd[/SUP] generation includes more breathable material, but in some ways I prefer the original; although the brim on that one is slightly smaller the back flap extends further and provides more side protection for my ears.
The Kokatat also looks very well designed, and if neck and ear sun protection are important something with a stiff, oversized bill and neck/ear drape is the way to go. Even with relatively wide brimmed hats I have toasted the back of my neck and ears. UV rays reflect off water. Snow is even worse:
https://www.outdoors.org/articles/am...-snow-reflect/
Hell, even beach sand reflects back some. Even the widest brim isn’t blocking that up-from-below reflection.