One thing that I don’t think anyone has touched on yet is how your child feels. I think either choice – a CV public school or a private school will provide a good academic environment, but if your child is unhappy it won’t matter.
I went to all of them in San Diego–public, private, and parochial. I had great experiences at some, not so great experiences at others. There was a year when I was miserable…when my parents saw this they pulled me out and I chose where I wanted to go. As a result, I excelled academically and my overall happiness improved greatly.
Another important point is extracurricular activities..it is no longer about who has the highest SAT score. Universities are looking for well rounded individuals.