6 string,
you must file a 1261 on the above incident. There is no provision to go above the TSF including the 10% discretion and certainly not without the agreement of ALL the controllers affected.
Management were desperate for the 0630 starts to try to eradicate delays first thing which are then very difficult to get rid of for the rest of the day. They were aware that this would have a knock-on affect at the end of the day but that is tough when you don't have enough staff to man the place.
Next time you are on a pm shift ensure with the LAS that appropriate flow has been applied to allow a bandbox if necessary and if not that all have agreed to upping the rates.
Remember that you as a planner can always impose MDIs if things are getting too busy and they would have a real problem arguing against that one!