Are you absolutely wedded to the idea that it has to be "a similar time zone to LA"? Is it inconceivable to you to start working at X:XXpm local time instead of at 8:00am local time? As long as you can communicate with your LA clients during their office hours, does it truly matter what the local time is for you?
The reason why I ask is that I live in Asia myself, while most of my clients are in the United States. This suits me just fine, because it leaves the daylight hours free for kitesurfing or whatever I feel like doing that day. As long as I can talk to them in the evenings (my time), my clients don't seem to care. Why should they care, as long as you are doing a good job and are available when they want to speak to you?
Just an idea. If you are willing to work during "non-conventional" hours, there is a whole world out there for you... And some of it has awesome kitesurfing conditions