MadMonkey: One solution would be if both players agree not to "waste" shots - where their shot will not at least uncover something new.

Myself, I never try to waste shots UNLESS my opponent does first... and then i just follow suit. I hate that part of the game, but if my opponents want to play that way.... then I will play that way..... even though it is a much funner game when it is not played that way.