In TBB vol 1 there are general dimensions, but not to the detail that you want. The reason that is, is because every piece of wood is different. So if you cut down two oak trees that are growing side by side and do everything the same in harvesting identical staves from each tree and make identical bows, they will be different, either in performance, shape, or quality.
So the general dimension thing only goes so far.
I know what you want to do.. I would suggest you build some basic bows first and then when you "get it down", make a bow of the specs that you want. By 'basic', I mean average size (not a shorty, no a longy), no backing, no snaky, no big knots, etc. Whitewood or osage are good beginners. Go for a large bow. When successful, start scaling THAT bow down to the one you want for this person. Shorten it, thin it, narrow it, little by little, whilst checking tiller and weight, until its where you want.
That's one way to get to your bow. OR, like I said, build a few that are successful, regardless of size and shape, then make the one you want.
sb