I strongly agree with the others, you need to know what the chemical is so you know better how to react. Your extension office could probably help you a lot with that or even the CD. But they need to know what the chemical is.
Even if they say it is fine, if you are not comfortable do not eat them. That part is totally up to you. So what do you do with your eggs if you don't want to eat them or feed them to your dogs or chickens? If it were me I'd break them and bury them in my compost, shell and all. I've done that with eggs I don't want to use. If you bury them deep enough they will not smell and critters will not dig them out. Or you can break them and bury them, shell and all, in your garden where you will not be digging for a bit. That is great fertilize once it breaks down.
Before I did this I'd want to know what the pesticide is. Practically all the things you spray for mosquitoes have a fairly short life. They break down pretty quickly so they don't hang around and contaminate thee environment for extended periods. But some break down a lot slower than others.
It is a great question. Talking to the CDC or the extension office about risks of exposure of your birds to that specific chemical is also a good question. Many communities spray for mosquitoes, that's how yellow fever, malaria, encephalitis, and some other mosquito born diseases are controlled. That will help protect your chickens against fowl pox. Some people will be horrified that they spray for mosquitoes but to me that makes living in the deep south possible.