Hahaha, as if Machon Raaya was Zionist…
If she’s flexible about being in the Bais Yaakov mold or not, then Michlalah might be a good fit. (It’s an amazing place and I love it so so much.) Michlalah DOES have its Zionist moments, if that matters to you (Yom Haatzmaut tiyul, etc)- I know you’re not the one who brought it up but it’s worth a mention. It really depends what her version of open-minded is- it’s easy to come out of there with Bais Yaakov hashkafos if you want to, but others may not see her that way and it sounds like she wants to be seen that way.
I know people at Bnos Avigayil who seem very happy, but I don’t know anything about the academic level except that the girls I know who are there are very bright.
Machon Raaya sounds like a great place for her! If she’s top of the class and if she has her sem coordinator/principal advocating for her she should have no trouble getting in. Many, many of my friends went there and loved it. It’s tricky to find a runner-up- from some perspectives Michlalah sounds ideal and from others a place like Binas, Nachlas, etc would seem better- I guess you’d have to balance the value of the Bais Yaakov reputation vs the openminded aspect. From how people describe Bnos Avigayil it sounds great, but I just don’t know enough about it to list it.