I went to PSU for my freshman year in parent times. I was a white female from a suburban nearly all-white high school. I was in the Honors College and the Honors dorm which is also where the Martin Luther King interest house (living learning community) was located. My experience at PSU at that time made me feel like leaving for a more urban, worldly, intellectually-stimulating place for liberal arts majors. It was a very normcore monoculture. Does it still have those tendencies? Yes, I do think so...
I think PSU and VT are very similar on paper. So I would encourage you and your daughter to read this recent Reddit thread about PSU and think about how your daughter might react if facing a similar experience at either school. Transferring due to poor fit is a bit of a hiccup - you want to avoid my situation.
https://www.reddit.com/r/PennStateUniversity/comments/125qmjr/am_i_the_only_one_that_doesnt_think_penn_state_is/
I would choose the school where it seems best suited to accommodate her plans for finding whatever communities suit her best.
From the outside, I have heard good things about Black Greek sororities. Business students focus a lot on networking and so perhaps that might be a decision-making factor. Greek life and chapter strength vary widely from university to university. But this can be researched on the web. Including by asking on Reddits for the universities. Greek life helps a lot at PSU...but I was not interested in that solution even though both my parents were Greeks at a different school.
At my Top 20 MBA program, I found that a lot of the Black students had been members of Black Greek associations as undergrads. That's how I came by my impressions of it being a real value-add to the undergrad experience. But do warn your kid about hazing and excessive drinking. All types of Greek organizations have issues with this.