Question to OP: If Weekly and 24H timers are set for the same exact time, why don't you disable THAT DAY's 24H game and make all players stick to weekly instead? That would resolve the player-splitting issue and maybe boost the weekly one so it lasts longer before death..
Just replace the 24H's bitcoin address for a link to the weekly and a brief explaination about what's going on (so no one can cry if they play that day on 24h)