I figured I'd throw a tip in here. Last attempt was on the date of this log. I've encountered rockfall 'severe' enough to turn me back a bunch of times. Go on a really cold day and you'll have fun. Go on a day that isn't as cold, and you'll get shot at by the mountain.
On my third try, made it up using two tools instead of one axe. Last climb of the year. Took a variation up top that would be rated harder than the page says, so stay center to top out on the ridge unless you want to do mixed climbing and digging.
Turned back a good ways up the couloir when a winter storm rolled in, dropping corn snow down pretty good. Not a fun experience getting back to the top of BBW.
Came back a second time and was hit by small debris constantly. Turned back further down.