Sometimes rules make it so hard.
What about offering two kinders spaces sharing space on opposites with clear understanding that when school closed, only the child who normally attend on that day may come?
Child A is school on Mon, Wed, Fri, Tue, Th, that mean in daycare Tue, Th, Mon, Wed, Fri
Child B is school on Tue, Th, Mon, Wed, Fri, that mean in daycare Mon, Wed, Fri, Tue, Th
If school closed on Tue of first week, then the spot belong Child A who would normally be in daycare if school was open. If school close Wed of of first week, that mean the spot belong to Child B who would normally be in daycare.
Only get care on the days that care is contacted - no option to attend for extra day if school closed. (Unless other spaces open from vacancy or child on vacation with family/off sick). i.e. additional day care subject availability.
Would that work?

