I've actually been on the hunt for a decent looking ball-cap styling hat for some time now. Problem is A) I have a huge head size 7 3/4 in fitted baseball hats, B) I honestly can't bring myself to wearing something ridiculous looking, and C) whatever hat needs to be fairly light in color. Call me vain, it wouldn't be the first time; but certainly there's gotta be something out there that's breezy with at least a decent brim in a baseball style (not a fan of boonie or those hats with capes). If I could find an Arcteryx Escapa that would be nice. Perhaps a Sunday Afternoons Sun Tripper? Both of those options have me at the top end of their "L/XL" sizing though. What a pain in the @ss.
Apparently Nike makes a fitted-style (i.e. flat large brim) nylon hat for their golf line, but I'm skeptical. So for the time being I'm rocking, even in summer, a wool blend New Era. Big brim and it fits.
Alternatively, I wouldn't mind a big lightweight shemagh (arab scarf) wrapped and tied around my head. I actually have one of these scarves, authentic from a military friend in Afghanistan, but it's about twice as heavy a weave as it needs to be.