Hi,
It's a bit of a drive, since he's in Bellflower, but he's a great mechanic. His name is John Haines, and his shop is called British Connection (www.brittishconnection.com). He usually has a few weeks waiting list, but when I lived in LA, he was the best mechanic I could find.
Good luck!
1964 Triumph TR4
2006 Micargi Pantera (beach cruiser bike!)