Yes, I second @bridgenail on all of the above. And I wholeheartedly agree with @compmom to “make sure she does things for authentic reasons“ (not that she isn’t!)! I suspect elite colleges see a lot of kids doing everything, and often signs of choosing/committing passionately to a few endeavors is a predictor of future success. Plus, a girl’s gotta sleep! Just my 2 cents.
Just want to add that we found an online course or two helpful for added flexibility during the last two years of high school. We used Virtual High School, and liked it so much that we convinced our high school to join as a member (meaning 25 slots per semester for our high school students to take a class).
And take this as a serious warning!!! I have known kids who have taken the most rigorous schedule (like the one you proposed), excelled at all subjects, got top test scores and then were rejected across the board. Why? Well some of it might be that colleges look at a kid like that and do not get a sense of who they are and what they care about. They see a kid who is going through the motions and not committing. They see a candidate for burn out. The other might be they worry that if it seems too good to be true it is. Or maybe it is just candidates like that fail to catch the eyes of the application readers (who btw, only spend about 10 minutes reading an application on the first pass through) and so the application gets put in the “meh” pile and doesn’t make it to the “This is worthy of more attention pile”.
It is also worth nothing that many elite private schools no longer offer the AP courses because of concerns that the courses are not focusing on the right things. Students can still take the AP exams and many due, but that is mostly so they can place out of courses their freshman year. Colleges care a lot more about grades, recommendations and they want to have a sense that they know who you child is. They want to know what drives your child to learn? What makes them tick? What excites them?
Also remember Ivy League is just a brand. These days when my son (a future academic) goes to conferences in his field there are just as many leaders in his field from Land Grant Universities and other respected institutions as there are from the Ivy League. When it comes time to fill out your daughter’s college application list you are going to be looking at many other factors besides “The Brand” and the more “authentic” (I like that word) your daughter is the more likely she will end up in a place that will make her happy and allow her to grow into the best young woman she can be.