Bnos Avigail is very much catered for the ‘thinking Bais Yaakov girl.’
It is very, very academic and textual.
Rebbetzin Heller said that the year is divided with three concentrations: bein adam lamakom, lachaveiro, and la’atzmo.
The approach is very much focused on relevance to the girls life, I think also developing your inner self, through the texts.
They also have great extracurricular and tiyulim.
The only sem I can think of that shares the same type of goals/approach is Binas. I know some brilliant girls who went there and loved it- it’s academic, textual and focused on depth and relevance, very warm and is a BY which likes individuality. Their principal taught at Machon Raya for a while and incorporated some of their style into the curriculm.
Nachalas is a great sem, but not as academic. But Tehilas, which opened this year, is their sister school or branch, something like that, and supposed to be very academic. I don’t know about how open-minded they are, but it might be worth checking out.