Newlyn,
Ivory Beads is about a 45 min drive from where you're staying. It's the best double store in SoCal by far. There are no gunstores that I'm aware of in the are you are staying. But, Pachmyr's shop used to be around 800 S. Grand many yrs ago. Sorry, I think you're out of luck. If you're going in and out thru LAX, you'll have to go thru Culver City where Martin B Retting's store is, just off the 405 freeway (the way to/from LAX and your location) at 11029 Washington Blvd. Culver City, CA 90232 310-837-2412
http://www.retting.com/index.php They have a lot of low and mid grade guns with the occasional double, but not many or often.