It’s hard to believe that it took so long to mention Afikei. OK, here’s the scoop on it – I know it well because my neice attended it.
It’s part of the Chochmas Lev/Darchei Bineh family. It’s definitely BY hashkafa, but does take girls (especially from OOT and overseas) who did not necessarily attend BY’s (my neice did attend one in NYC). It is not at all a MO seminary, and has the same hanhala (among them, Rabbis Orleweck, Orlofsky, Lauffer, Taub) as the other two. The main difference is that the girls are more the type who like to really discuss things, instead of just read text and take everything as is. It was a wonderful group the years this girls went, and she loved it so much that she, and 15 others went back for Shana Beis.
Please do your daughter a big favor and look into it. The girl I know who loved it said one of the key differences to her was that it didn’t feel like seminary was just an extension of high school, but rather, a whole new approach to chinuch.