Speaking with great ignorance, I am unsure if it would be a good idea to seal the eggs in a container.
Here's the idea I robbed from Chesney here:
It's a cheap organizer with drawers in it. I suspect that "cheap" is important as the drawers move easily and have plenty of air gaps.
Eggs on lids/petri dishes get misted as often as necessary to keep them moist. Do not cover the eggs .
I do the same thing although the container fluctuates from 70-73 depending on if tank lights are on.
I think/suspect that eggs need more air transfer than what would be garnered in a sealed container, but again, I MAY BE DEAD WRONG !