The excellent Se/Ki climbing guide by Moser, Vernon, and Hickey lists eight routes. Not wanting to plagiarize, I'll only quote a bit:
"From Big Baldy's summit, hike down the rock on the northern slabs for a view of the climbs. As one heads south along th base of the rock, the face steepens and gets longer. Just before the west face rounds into the south face, a spectacular right-facing finger crack/corner with several large overhangs comes into view. This is "Welcome to Big Baldy" and is the most attractive natural line on the cliff. The climbs below are listed in a left-to-right (north-to-south) order:
Spine Line 5.9
Top Hat 5.10
By Gully 5.6
Young Eagle 5.10d
Free Enterprise 5.12b
Welcome to Big Baldy 5.11"
I have neglected to type out the detailed route descriptions--for that you can buy the book!
Link to Webcam pointed at Big Baldy. Camera mounted on Park Ridge, Kings Canyon National Park.
Also, regarding Montecito-Sequoia, the Forest Service doesn't run the lodge. It is ran by a private company, called a concessionaire, who holds a special use permit in order to operate the lodge on Forest Service land.