I took $100,000 and bought a 14 unit rental portfolio in Kankakee, IL - as a non-resident, foreign national (I was living in Norway at the time). So if I can do it from a different country, I think you can do it from California! :)
One thing that´s great about investing out of state (or internationally in my case), is it forces you to choose rationally depending on your strategy as an investor.
Generally speaking I´ve found slower growth, tertiary markets in the mid-west, that rank high on the affordability index, best for cash flow ROIs. And there´s less risk of boom and bust, as we often see in larger secondary cities.
I´d recommend trying to keep the property values over 67k per door, that will make re-financing with commercial lenders much, much easier when you own more than 5 units. It´s basically impossible to get commercial blanket loans for rental portfolios when the value per unit is lower than approximately 70k (that´s presuming you can get 75% LTV, which I found was the norm with commercial loans of this kind).
A mixture of commercial blanket loans and creative owner financing has worked well for me so far, keeping my cash-on-cash return high.