In some areas FHA IS considered conventional. Due to the appreciation over past years and the governments unwillingness to increase the values, in most areas of California no one has been able to do an FHA loan. It is not the end of the world.
I work with several who could help review all these progrms with you, If you would like to talk to some real professionals who look out for your best interestes and not a commission let me know
First Team Real Estate
I heard of a program that just started in California called Acorn Mortgage. Here is a link to it:
The Reavis Group
Keller Williams Wilshire