My only concern with Bbgemonts idea is for a circumstance that probably would never come up, btu it would be kind of uncomfortable if it did.
What happens if the current King and #1 contender are playing, and the #2 and #3 contender start a game per the idea. Then before #2 and #3 finish the KING game ends. Does the King wait then? And what if a #4 contender shows up? Now do you have the King and the #4 contender sitting idle while the #2 and #3 contenders play?
Something to think about. But whatever you decide is fine with me Asmala. It's your baby now. I'm just one of the commoners.
Geoschmo