I've never played there, but years ago I played 7 card stud at Commerce. I think California Blackjack is what the Indian Casinos used to offer before the compact. Basically it is regular blackjack with an ante. Then another player is the bank. That way the house faces no risk and it's not a banked game. Your best bet is to take your whole bankroll and try to be the bank, if they'll let you. Somebody gets to do it, might as well be you.
Unless prop 57(? i think that's it) passes allowing the horse tracks and card clubs to offer slots and table games, everything in California that's not on an Indian Reservation has to have an ante to be legal right now. At least that's my understanding.