Who makes a good baseball cap for shooting?
The best I've found is the promotional cap that used to be sold by Lee Precision - their low profile twill 6 panel baseball cap. But these have apparently been discontinued.
The nice thing about these is that the brim has a deep contour so that it meets the edge of your shooting glasses and provides protection from incoming cases, as well as blocking light effectively. Also the there's nothing in the structure of the cap that causes discomfort when wearing muffs. They're a good alternative to the goofy competition hats that have blinders attached to them.