Those 'bucket hats' were indeed short in that regard. Even the new issue boonies are only 2.5". I go for the 3" variety -- not official USMC issue, but the only diff is no EGAs in the pattern.
Btw, I've played with several types of camo new and old in central/south Florida environs, and the current woodland MARPAT is best overall. Colors here are very vibrant, especially in summer, and shadow areas are pitch-black in contrast.
One drawback: They're too heavy. If only the NyCo fabric the USMC made them out of was about half the weight, like what the Army uses for it's ACUs. The upside on that is that bug bites don't get to you as much, nor do thorns.
Yep, I go for the 3” brim, adn the old ripstop material. Everything is a tradeoff, but I prefer light weight and fast drying.