One way out of the pool might be to reach out to potential teams herself, if you have any friends of friends within the 'plex who can send out tendrils internally. (Or just contact friendly people who post on HN... >.>)

Yeah she's been advised to go through Google's projects herself and let the recruiter know what she might be interested in.

Wouldn't it be an idea to team up with other 'pool rotters' and create a product for Google? i.e. form your own team proactively, and operate like a kind of Skunk Works in Google...