I think most of the woodies with brakes during the ride are the bigger ones. It's harder to predict speeds and stresses on these monster woodies. The best example is the Beast. Kinda boring now compared to the early 80's ain't it? I rode it once in 89 on what I thought was a brakeless (or very near brakeless) ride and it scared the crap outta me! Thought the train was gonna literally rip right off the track!
Ahh.. The American Eagle. My home biggie woodie. It's not really a woodie anymore. In the early 90's the whole first run, starting on the way down the first drop to the top of the big helix, it's all steel I-beam track. Same with the first drop of the Texas Giant. And that new one in Germany (as cool as it looks, sure it kicks butt still!) is all steel track.
I know it's off topic, but while we're talking bout the AEagle, I'm pretty sure it was the first woodie to convert from stationary lap bars to ratcheting, starting that much-hated trend.