My Dermatologist also had a fit when he found out, that after all his nagging, I still didn't use sunscreen. He stomped out of the rooma and returned with his own Columbia "boonie" hat. He insisted that I get one at once. He had a p*o*o*p sheet of specs and a list of every store within a 50 mile radius that sold them. I cut out the label so Don't have any model number. Here's a photo.
Coulmbia Boonie Hat.
I leave it in the car for use on improptu hikes. IMHO It's butt ugly. So… I use the very stylish Tilley Airflow LTM5. I believe this is the hats of choice of Dr. J. Can't get much better than that. Besids, you get the "brag tags".
Tilley Ariflow LTM5.