I can give you further information but not entirely solve your problem. Away3D has (had?) issues with the .mtl file. All of my .objs use a single .jpg or .png as their texture file, so I’m able to just cut out the .mtl and delete all the references to it in the .obj file (as Choons suggested in that thread I linked). Obviously with this model, that would complicate the hell out of things for you.
A working, but nonoptimal solution would be to combine all of your .pngs into a single giant .png and redo your UV map. You might also be able to manually re-map which .pngs’ BitmapData gets assigned to which UV coordinates, but that just seems like more trouble than it’s worth.