I've never seen a Mickey Ears visor. My DH & DSs favorite hat is a safari hat from AK. It's a floppy one--not a hard one. They can even put their pin on it w/o it touching their head of face. We like them too b/c they shade their neck & ears really well too.
This is very similar to the one they have AK but this one doesn't have the logo for AK:
http://www.lamood.com/images/502_lrg.jpg