Now that you’ve told us you plan to attend grad school, you’ve added an extra 2-3 years of tuition to your plan.
I see that at CSULA, Social Work is impacted for 2016-2017 http://www.calstate.edu/sas/impactionsearch/
and you’ll be subject to additional admission criteria. The Sociology major at any other CSU or CC would be a good alternative and you can apply for the MSW program afterwards.
To save money, I still suggest attending a CC. Your estimate is incorrect, however. The $23K probably included housing estimates. I have a friend’s DD, OOS like you, coming over to attend Orange Coast College (CC), and her budget including room and board, (living by herself) is $25K. The tuition portion as I mentioned, is ~$11K.
We have an excellent transfer system from our CCs - my DD did it. Classes at CCs are smaller. You can go to multiple CCs to meet your prerequisites for transfer. Should you decide this route, I believe, if you transfer to a CSU, you’re still considered a nonresident for tuition as you complete your BA.
If you are interested in CCs, I can recommend that all the Orange County CCs are in good to excellent areas.