A fogger sounds like a mess. Have you considered 6 quart shoebox tubs sealed with Glad press n' seal for individual clutches?

Either with Vermiculite and/or Perlite, or the substrate-less method it's an easy way to maintain 99%-100% humidity for your eggs.

If you do decided to go with a fogger keep in mind you cannot let any water condense above the eggs and drip down on them. Liquid water dripping on the eggs will kill them.