SevenDad. That was amazing information that you shared. I feel I suddenly know much better now. I liked your approach of finding a fit and I will try to do something similar, although we don’t have money for so many visits to east coast schools from California 
Our goal with BS is well rounded education and different life experience. For pure academics, I think nothing beats self-directed homeschooling with community colleges. But I feel that I pushed her too much in narrow area of logical reading comprehension and sculpting. She wants to see what’s in the other world and she has the right.
Dreamcatcher3. Thanks for the suggestion. All-girls is not a must. Loomis sounds promising. We will look into it.