A wide-brimmed hat is one of the best things you can do for your face, and it needs no reapplication.
The face, ears and neck are among the most common sites for skin cancer, and they are the places people most reliably under-apply sunscreen.
A genuinely tightly-woven straw hat with a wide brim works well, and it is comfortable in heat in a way a fabric hat is not.
What both the AAD and the Skin Cancer Foundation recommend is a brim of at least 2 to 3 inches, all the way around. The Skin Cancer Foundation asks for 3.