If you're in at 11, and you don't have access to any of the local privates in and around Santa Monica (Riv, LACC, Bel Air, Wilshire, Hillcrest) I would strongly consider Rancho Park - former host of the LA Open - 12-17 there can hold their own with just about anything else around.
Tim beat me to the suggestion, but thats precisely what I was getting at if you can break out 2 hours early - you have to wait a couple of hours to get on, but it's worth it. If you were to the course by Noon, you'd have half a shot at getting out by 1 or 2.
(If it's a weekday.....)