you might see if a clever designer on this forum could make one...
What are you suggesting? (Smiley of 'hmm......')
JasonSmith mentioned that he made the radiolarian 2 by starting from a deeper puzzle then going back to shallow. That method could be used for this I guess.
I think this would be a bad idea. This would create the starminx points and centers on the inside, which would make the puzzle catch more. It would also be harder to assemble.
Perhaps a solution would be to apply Tom's Multidodecahedron clicking mechanism into the puzzle to make the Brillic edges more stable.