Anglo American Aviation Academy in El Cajon is a JAA school but it changed hands a couple of years ago and the new owner talks a big game but there isn't the follow through... I did my PPL there with the old owner and I still live in California. I can recomend one of their ex flight instructors who is JAA and FAA, so ticks all the boxes. PM me.
Alternatively Aviation Pacific is also JAA and is now affiliated to CATS (Cranfield). I was there the other day using their sim, they are very keen and have JAA instructors. You can even sit the JAA exams there.