Hi - first let me say - I feel for you. When you really want to move it feels so urgent and you just want to be where you want to be NOW. I get it!! BUT - re California - there is NO WAY to get a job out here on the coast (the central valley desert areas are a different story) as a new grad. There are literally THOUSANDS of people applying to new grad programs in coastal California. I should know, I'm one. Unless you already have extremely close connections at a hospital, you will not get hired as a new grad. Coastal California schools are churning out zillions of new grads who already live here - have families - and want to stay! And there are thousands more who finish RN school and move here for the Dream, and there are simply not enough new grad jobs. Unless your dream is to work is a SNF, which is possible - an ICU residency in a good hospital system (or even a bad one) is simply virtually impossible without connections. I could write pages of people's stories, but just for illustration's purposes I have one friend here who moved from san diego to Laughlin, Nevada, to work in a small hospital in the desert for a two years to get experience, on a unit she hated (med surg) so she could move back to san diego (where her fiance and family lived).
Now, for the good news!! You CAN get a job in coastal CA (you mentioned san diego) with EXPERIENCE. There are ARE jobs for nurses with at least two years of experience. It is theoretically possible with one year, but two is better. If you have two years experience, you'll have a shot at that ICU job. Also, keep in mind that CA is horrendously expensive. I was paying $1800/month for a tiny two bedroom. In the Bay area that would get you a closet (in Oakland).
If I were in your shoes, I would either stay where I was and had connections to get that ICU job for two years, OR, move back to where your family is to get that ICU job there and live with them even for a little while to save money. That way, in two years, you'll have that experience, which is GOLD, and if you live with family you may even have your three months rent deposit saved for an apartment in California! (Maybe you have lots of money and don't need to save, and if so, that's great!).
The California Dream is possible - but as a long-term plan with two years nursing experience, and money. Definitely not for new grads. I wish you the best of luck!!