Although I admit Bree is slightly better than Brie, the cheese's actual spelling.
Go with
Gabrielle, and you can nn her Brie amongst your family. But at school or wherever, she can go by
Gabrielle,
Gabby, or
Elle if she wants, and thus can avoid the potential cheese teasing.
Miranda
Proud adopter of 15 punctuation marks; see my profile for their names.