A Bucket Hat
A bush hat is similar to a bucket hat but has a stiffer brim.
A bush hat is a form of wide-brim hat commonly used by military forces
Also known as a Boonie hat by Americans
The hat as a fabric tape band of loops is sewn around the hat's crown. This ring is meant to hold additional vegetation/foliage as camouflage.
Complete with vented crown
Brim up or Brim down, I think with the brim up you will gather a nice puddle in the rain to tip on friends.