It's good to see people taking sun exposure seriously. I know someone who is battling Stage 4 melanoma and that has a way of getting a person's attention.
Not to further hijack the thread, but I shredded my Tilley hat too and, since it was my fault, not a manufacturing defect, I emailed them to ask if they had any recommendations on how I could fix it. They said to send it in and they'd replace it. Since they didn't have the same color anymore, they said I could pick whatever hat I wanted. I got the same model, but in the darker color, and they even let me get a slightly larger one and returned the original hat too. I'm glad I got the Tilley, even though I never would have bought such a pricey hat except that most hat companies don't make a big enough hat for me.