Another Tilley hat user.
LTM6 wider brim synthetic with mesh vent at the top in the summer and the wool TW2 Tilley Winter Hat in the winter.
I certainly can't say I've tried any assortment of other hats, but I do like the Tilleys.
I do wash the LTM6 regularly to avoid rotting the sweat band area. I just fill a sink with mildly warm water and a bit of laundry detergent, swish and squeeze a bit, rinse very well, and air dry overnight.