Since they all brown out, why would combining the genes remove the brown?
I believe the key is Tyrosinase. 'Albino' balls don't have it--Caramel albinos DO have it. Axanthics DO have--all the lines found so far, at least.
If you want to make a 'true axanthic', you'll have to find a T- axanthic. Maybe one is out there somewhere, waiting to be discovered.
You could also produce a true axanthic if you can find another ball morph that is JUST T-, and combine it with one of the 3 axanthic lines.
http://en.wikipedia.org/wiki/Tyrosinase