[NonEUCitizen]

"not SF" can be "Peninsula", "South Bay," or "East Bay." Look in craigslist jobs section for cities (and type of work available) in these areas.

I'd suggest an intermediate approach. Instead of worrying so much about [what looks like] a big step such as moving, plan to take a 1-2 week "interviewing vacation" in the Bay Area. Contact companies beforehand so your days here are scheduled with interviews.

Tell companies you talk to you'd relocate here if they offer you a job. Preferably, they'd pay for relocation, or if you really want to move here, you can pay for it yourself.

Once you have a job offer, then worry about the move.