I agree with Dave about the growing part. And The BPW is a good choice as it will alllow her to get some weight off the weightbelt that will be good for Bay Area diving in cold water that will require a heavy suit.
Someone also recommended the Zeagle Express Tech. This is also an excellent suggestion as it is modular as well but without the hard steel plate. Retails for around 250 for the basic one and if you add 3 or 4 d rings, a crotch strap, and a weight pocket to each cam band you can configure it to be the same as a BPW weighting wise. I've done this with mine and with the ones several of my students own.
I'd never recommend a BC like the ladyhawk,or any jacket bc unless you get one used for 50-75 bucks for any younger person. She may grow out of it in two years or perhaps less and you've just spent a great deal of money. The BPW or Express tech will be cheaper at the outset and in the long run for you and her as both should last a lifetime with reasonable care.
And as others have said back inflates do not face plant a diver, improper weighting and over inflating the BC does that.