Mini, I do most of what you mentioned. Turned up collar, wide brim hat, sun glasses, and some UV lotions.
I just got a Titleist Aussie hat, TH3WAUS-9. It's something I had to get used to, but it was easy because it was light and it worked real well keeping the sun away from me.
When the wind comes, the brim is a bit flimsy, I don't like that so much. I found that I still changed to a baseball cap.
Because I was okay with the wide brim, I'm thinking I would be okay with the Aussie hats that can be soaked in water to help cool off the temps.