To me, White is more like roses, pomenagrate, cinnamon over a translucid woody base, typical of comme des garcons frags.
Witness I have never tried, but it does sound interesting.
Comptoir Sud Pacifique used to carry a fragrance called Vanille Canelle. But it`s a little bit hard to find. Maybe this one is what you looking for.
There`s also Vanille Sauvage du Madagascar from La Maison de La Vanille, that it`s quite proeminent on cinnamon too.