I had a whole different mental picture of what the original poster was talking about until I saw the picture of it.
I was originally thinking in terms of a white Stetston with a white star on it and since a bare naked straight brimmed Stetson costs about $300 (they've been bought out by Resistol), I thought, "Now, there's a hat that would stand out in a crowd - gotta be the Cadillac of Cowboys' hats - no one with longhorns on his Caddy's grill would want to be without one". Maybe Crazy Ray has an old one he would sell.
What was I thinking? I've been hangin' around and working on a real ranch so long, it never dawned on me he was talking about a visored cap. When I think of cowboy hat, my ten gallon ones spring to mind. Everyone around here wears them. I may be in need of a vacation.