We are also a west coast family and our daughter came from one of the “teachers called by first name” schools - actually, a Quaker school. She’s now a senior at SPS. She adjusted to the change in culture just fine and I’m happy that the she has the balance of coming from less of a fast lane life than some of her classmates. I do think that it can take a certain amount of self-confidence to deal with not being part of a prevalent culture so that is something for you to ask about when you visit schools.
I’m a big fan of Quaker education although I don’t know what it’s like for a kid who is first experiencing it in high school. At my kids’ Quaker K-8 there was very much an attitude of appreciation for what everyone has to offer, which made for a very healthy social and academic situation. I loved George school when we visited, but my daughter was done with Quaker school by that point and didn’t apply.
100% boarding was one of the attractive features of SPS. I don’t think it’s necessary for an immersive experience, but it does help contribute to that at SPS.
You will learn a lot when you visit schools. It’s very hard to really get a sense of the schools from their websites. Each one has a really different feel, and some of the ones you see will resonate for you and your daughter.
Good luck!