Thank you headwax.
I know about Knots, played around with it even before asking but with no good result for braids, though a good program in its own right.
ADSohr's modeling solution is the best. The mesh can be resized and shaped using Modifier as needed so the braids will look real
Anim8or does indeed create shadows of the invisible parts of a transmap but even rendering in other software which ignores the transparent bits is not so good because there is no "volume". I have finally settled for modeled strands for the front part and a good hair texture and bumpmap for the flat parts leading to the braids. I think this will do the trick.
Anyone interested in "the making of..."
A native American just follow this link.