You can wear any hat with the Buff head wear, and the Buff's SPF protection takes care of your face and neck.
A few years ago we went to a friend's marriage in Floriduh in September.
Instead of batchelor parties the guys had 3 days of guided fly fishing.
I wore my Tilley hats, Under Armor Shirts, the Solar Gloves and a Tarpon Buff mask. Most of the other guys got some severe burns, I didn't add to my decades of solar skin damage, and I was basically cool for the 3 days.
It was hot and humid, and I sweated like a pig, but the sun clothes pulled the moisture out and off of me. I was able to keep hydrated and casting with a two handed switch rod for the 3 days and caught/released a lot of fish daily. Most of the other guys were on their seats trying to hydrate and not casting.