Hmmm....there was a MMA school in Long Beach, but I've not been done there since Katrina did its damage. Let me see....
No, can't seem to find anything immediately. Actually, your best bet would probably be to check out the base and see if there are some guys practicing. A lot of the military is taking a MMA approach to their self defense training. You ought to be able to at least find something kickboxing-wise down there to compliment the ground skills.
If you were further north, I could more easily point you in the right direction. But if I catch wind of anything, I'll be sure to drop you a PM. Really sorry I couldn't be more help.