Southwestern is a very good school, and is very respected in California. Heck, half the lawyers in this state, regardless of where they have graduate from, appear before judges who graduated from SWLAW. If you want to practice in California (especially Southern California), it pays to stay local. Syracuse is a decent school, for sure, but why be an "outsider" when it comes to getting a job in this market?
As for the lack of an undergraduate institution...I'm sure it hurts the school's "ranking", but except for the missing on-campus activities (such as sports and plays), which you as a 1L won't have much time to attend anyway, it's hardly missed. In fact, UCLA and USC are so close, why not go watch the Trojans and the Bruins battle it out? Or go to the Getty or a play at UCLA's playhouse.
My only caveat: cost of living in LA is high. Figure over $1000/month for rent alone, and driving in West LA (or any part of LA) can be annoying because of traffic. I don't know how that compares to where Syracuse is located.