The brim measurements for Tilley's T2 are: Front: 3 7/8", Back: 3 7/8", Sides: 3 ½"

I've got felt hats (Akubra, by preference) that are 4" or more...I think Akubra makes one with a 6" brim...but it might be too heavy. If an Outdoor Research product (the Seattle Sombrero or one of it's siblings) won't suit you, you may have to look into a straw hat, such as a good Panama.

David