Take advantage of unemployment, that's what it's there for. It's an insurance that you & your employer (depends on your location) paid for this very purpose.
I would not be to proud to collect "welfare" in all it's forms (snap, afdc/tanf, ss, disability, food banks, etc). Yeah, most Chevron people are paid quite well, but if in your situation you are qualified, why not accept it. It's there to help people get back on their feet. We live in a great country where as a matter of principle we not want our people to die of hunger in the streets. Makes for bad policy, potentially cause riots and revolutions. However, in practice, there are people that take advantage for too long, and then people are still hungry in the streets, though in both cases it's not as "high" in quantity as people make it out to be.
So keep your head high, sign up for obamacare if it is a better economic choice for your family, take advantage of unemployment benefits like work placement & training, get tax writeoffs on your job hunting expenses (resume paper, interview clothes, travel), volunteer at foodbanks and accept some of their fine cooking.