danheg: I think the problem with Cheversi is that having the last move is quite a big advantage. That doesn't go away with rolling a dice, while it gives the player moving first a chance, odds still favour the person moving last. Swap rules have also been proposed, but that won't work either. Swap rules are there to level out the advantage of moving first.

I think Cheversi ought to be played in such a way that both players move simultaneously. Obviously, this requires rules to handle the situation where both players want to move to the same spot (i.e. Both pieces are not placed and out of the game (possibly with the spot turning into a black hole); or both pieces sharing the same spot; or the highest piece wins or the winner of a coin flip gets to place his/her piece (and the other out)).