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Another idea is as follows: Win by capturing opponent's king, not checkmate (and castling in/through/out of check is permitted). At the first turn of the game you toss a coin to determine who goes first. And then on each turn, you roll a dice (decide before the game starts how many sides, you might use d10 or d12 or d20), and if you get 1 then you miss your turn. If your turn is not skipped and you have no legal omve, the game is drawn. Repitition of moves does not end the game. Perpetual check is not a drawn game; possibly the checking player will win or the other player will be able to stop it.