What exactly would you do in CA that you are not able to do in your location? I'd come to CA only if I have some idea of what to do: College? First find out which one and apply. Tech Job? First send your resume. Find co-founders? You won't find them in the coffee shops, trust me! (at least not the busy ones...)
Talking in front of crowds? That'd be a good reason. Lots of events going on over here. But first you need an app to show off :)
I love CA, don't take me wrong! I'm just saying that a bit of planning would make your 10k last longer.