I usually lurk on this board but since you haven't gotten other responses I thought I'd poke my head in. I'm currently seeing the midwife group at UCLA in Westwood and I know they handle VBACs. I've loved them so far (this is my first baby) and I have several friends that have loved delivering with them. I don't know how far that would be from you as I haven't lived in CA very long and am not super familiar with the area yet. Honestly I drive about 2 hours (with traffic) to get there and I consider it worth it because the only other hospital close to me is pretty questionable and the midwives are great! Good luck with finding someone!
Re: VBAC friendly doctor in east Los Angeles
Also, here's a link if you're interested:
https://obgyn.ucla.edu/body.cfm?id=167