For me there are several points:
1) place information on news page (probably this is MOTD?) as soon as possible to show BB's are aware of the bug and are solving it ... this had happened quite often with exception of point 2)
2) be aware of problem as soon as possible and start to solve critical problems without any delay ... as you wrote your team doesn't cover 24 hours a day ... but probably should cover critical days/time and monitoring should be set this way that staff in emergency call get message if there is any critical issue in any time
3) think how generally solve the situations when some delays can influence major damage to some users (e.g. if someone can't set NT lineup last 5 hours before match, if training is not done in advance before the match, if postpone of match calculation means that some sold player can't play the match, because was sold between scheduled time and time of real calculation of the game), in same case like league finals, NT semifinals/finals it can caused damage in matches someone is waiting for very long time and all the effort can be suddenly gone due to some bugs or troubles in site.
My worries at the moment:
Training in my country is set for 28/10/2011 10:57:00 (no NT player in foreign country we scheduled training later), our NT game is set for 28/10/2011 18:40:00. For me it's a busy day tomorrow, I'm not sure if I log into BB last time before match at 14:00 or 17:00 or some other time and I'm not sure if training is done by this time. That's why I have already set the lineup even if I don't know the game shape.