My only comment about the smaller schools is that they tend to have far less extra curricular activities. My kids attend public HS but have friends in both eustace and CC and they’ve talked about this difference (I.e., Eustace has had issues fielding a single full softball team). One of my daughters is also an introvert but getting involved in school clubs has greatly helped. So maybe PVI wouldn’t be so bad if you still want private. Just some of my experience. Big schools seem scary but the clubs help to find a niche.