I think it might make sense for her to cast a deeper net rather than an exceptionally wide one. That is, since she strongly feels she would like a US liberal arts style education, she should include some colleges that would be more in the match/safety range for her stats. Given that she is full pay, there are a many less selective colleges that would probably be delighted to accept her and her parents’ money.
I’m not saying that she should waste her time applying to colleges that are so “safe” that they can’t meet her academic aspirations or expectations – but just consider some that are more certain for admission. For example, she might consider colleges like Fordham or Dickinson. I haven’t been able to read this very long thread, but it seems to have been heavily focused on highly selective elites-- when really the best strategy for admission is always going to be to include some true safeties. I realize that she and her parents might decide in the end that a less prestigious school isn’t worth the price of tuition and international travel – but an application isn’t an obligation to attend. (And with her stats some of those schools might offer merit money, which could change the cost/benefit analysis).
I honestly don’t think that overall admission strategy should be any different than for a US applicant. The more colleges she applies to, the less time she will have to learn about that college or tailor her application to that college, and that in turn weakens her application and chances of getting accepted. So a more moderate list with a combination of reach / match / safety schools is far more likely to leave her with a wider array of choices.
I would note that if women’s colleges like Bryn Mawr Mt. Holyoke all still provide a wonderful opportunity for young women who are seeking a rigorous academic-focused learning environment in a significantly less competitive (and more predictable) admissions process.