A hot day needs a brim, not a beanie. Outdoor Research lists a 2.75 in brim, mesh panels, and UPF 40 fabric inside the Sun Runner Cap. A removable cape covers the neck, and a chin cord holds it on.
Regular price $44. The page also listed $17.60 and $22.
Shortlist reason: a brim width and a UPF number on the same page.