Welcome to our group! I would definitely agree with the suggestion about contacting the BCOSW and maybe even go to a few dog shows and talk to breeders. This is a very cool breed but one that doesn't come without some work on your (family's) part.
Make sure your daughter understands that she is likely to lose a favorite blouse or toy or a piece of jewelry unless she keeps her room neat. In addition to being dogoudinis, basenjis like to chew on all kinds of things unless given a stimulus of some kind. Be prepared for toilet paper or tissues strewn around the house (it's a basenji thing).
And don't give up, nor let your daughter give up, on the obedience class. And if it's not a positive reinforcement type obedience class, switch to one that is. Basenjis learn much faster if there is some reward rather than punishment or a lot of no's.