Continuing Regular Hive Checks

At this time of year we are nearly burnt out on doing hive checks every 10-12 days but we will rest when the snow flies. I must keep checking my hives every 10 days even after caging a queen because if I don't the bees will create a queen cup, fill it with a bed of royal jelly and drag one of the last eggs layed by the queen into the bed of RJ. This is undesirable since the reason we caged our queen in the first place is to ensure all brood hatches out before the final honey extraction and before winter sets in so that all equipment can be stored neatly and clean for next year's colonies. I don't know about you but I don't want eggs or larva in my honey.