Wow. I have no interest in this game at all. Sorry Fencer (et.al.) Other than being played on the same board, this game bears no resemblance to backgammon at all.
I think LionsLair has a great idea for a variant. (I don't think you should limit doubles though). This would make for an interesting game. I think that instead of limiting doubles you could do something else to benefit your opponent when you choose to play doubles. (Perhaps your opponent would automatically get a doubles option on the remaining dice).