To piggyback on Hank's post, Cedars does have a neuro residency, albeit a fairly young one (I think they just graduated their first class last year). Their NCC fellowship has been around a little bit longer and I believe it's pretty highly regarded. They also have a vascular fellowship, and getting your name on a paper with Pat Lyden definitely won't hurt your cause. Couples matching carries the risk of sinking a little bit further down in your rank list, so it's not a bad idea to check out some of the other less competitive programs as well. UC Irvine just got their first accredited NCC fellow and I believe they're working on getting stroke up and running. USC has both as well. For geography's sake, around SoCal you also have Harbor UCLA (which historically matches fellows pretty well at UCLA if I remember correctly), Kaiser LA, and Loma Linda; I don't know much about their stroke and NCC strengths.
If you really want a shot at the trifecta (UCLA/UCSF/Stanford), plan on doing an away.