I have a Tilley, the kind with the snap-up sides (Aussie Style). I love how it looks, and how it performs in keeping rain and sun off me.
But, am I the only one that finds them unbearably hot? Mine gets SOAKED with forehead sweat almost immediately, and feels like a little rainforest is forming atop my head. Granted, I'm on the East Coast and a huge amount of my warm weather hiking is done in very humid conditions. Basically every time I wear it, I end up fiddling with it too much (taking it off to let my head air out, wiping my brow, readjusting it).
I really want to like it but compared to say, a Headsweats baseball cap, it just feels like a hot, damp washcloth on my head. Superficially though, I really like the Tilley over the ball cap, but I can forget the headsweats is even on, all day, never touching it.