I've seen so many kids who played for "lesser" clubs or played for a big club's fourth team who've gone on to play at MLS Next/ECNL/high school all-district level. As others have said, take her where she'll be happy. Save the club shopping for when she's at least 11 and you have more of an idea of what she wants to accomplish and what she *can* accomplish.

For what it's worth since I'm a few years ahead and have experience with all those clubs.
Syc - the strongest by far in terms of younger teams
TSJ - I believe going through transition but also really good at player development
Lmvsc - loved the vibe. Not too serious. Fun
Scaa - hard no
Bac - I don't think they are particularly strongest if you live near there worth considering
Bryc - another option