Hi, OP! My daughter's journey this past year looked a lot like what your daughter's might look like. She was drawn to midsize universities with "academicky"/friendly/curious students and warm relationships with accessible professors. Like yours, she was top 10% of class (maybe higher; they didn't rank) at a known-to-colleges private school on the west coast. Was National Merit, had other great stats — 1560, 4.0 UW — and high course rigor. And, like you, we knew that while she had the academic background to thrive at pretty much any school, the odds were (are!) stacked against any unhooked student (and, especially, girls, apart from engineering programs, which she wasn't focusing on), so finding schools in that 15%–40% acceptance rate window was pretty important.
I'd be happy to talk about other schools she applied to and how it all went (the tl;dr is that she SCEA'd at Yale, but was rejected, and was waitlisted at Rice RD), but the key takeaway is that your daughter should absolutely look at William & Mary. My daughter's there now as a freshman and loves it. Based on how you've described your daughter, I think it would be a really good fit.
As you do more research leading up to your CC meeting, you might check out this list of schools from College Navigator, to see other midsize schools with a high SAT bar but a more accessible admit rate:
https://nces.ed.gov/collegenavigator/?s=all&en=2000&ex=10000&an=20&ax=40&tv=660&tm=660 Play with the search parameters (like the undergraduate size) to see different lists of candidate schools.