I didn't do anything to the file between exporting and importing.. and the objects were ok when I imported then.. So it's because of Bryce.. I have Rhino too and I tried importing the figure to Rhino first. Unfortunately Rhino can't read Wavefront files.. and with other formats the clothes and hair didn't stay in their places.

I experimented with this a bit.. and it worked well before I rotated and resized the woman.. After that I saved and loaded.. and Bryce had ripped her dress into pieces, which was not very nice.. lol .. (I grouped the the objects before rotating them, so it's not because of that) This is not the first time I've had this problem, but earlier it wasn't this bad. I was quite surprised when I found a tree growing from the wheel of my car.. lol

I just tried changing the material and family of her shoes.. and after saving and loading, the shoes were messed up but the rest of the figure was normal.. I wonder why it does that..?

I don't know if it's even possible to do it any other way, but did you convert the objects into polygon meshes in Rhino first? You can control the polygon count easily when converting it..