Pickled eggs. All around favorite has been a cajun recipe. However, many recipes online - go with a recipe that has been out a few years and has many good reviews.
use a recipe online resource that you can search by ingredient. Here is one resource I've used:
https://www.epicurious.com/ Use advanced search to search by ingredient "egg", then sort by meal or other filters. You'll be surprised at some innovative recipes and you may find a new family favorite!
Reduce the number of chickens to reduce the number of eggs
Donate to a food pantry or soup kitchen. However, ask pertinent questions before donating if worried about any repercussions. You'll likely get a donation receipt that might be eligible for tax deduction if you itemize - since I am not a tax professional you will need to do your homework to determine the specifics.
Feed your other animals the leftover eggs (cooked)
We eat a lot of eggs via breakfast or baking, so we only have excess some of the time. We have a few friends or co-workers that we share the extras with.
My kids love "breakfast for dinner" as we serve only fruit (no veggies), eggs and an animal protein, some kind of carb (like waffles or pancakes or homemade biscuits) - but this is only occasional, making it a special event to the kids - did I mention no veggies (lol).
Add a couple of eggs on pizza and broil to cook - I've seen this served in restaurants, but usually results in runny yolks so this would be a no-go if that is not appealing to your family.
Add an egg to a burger - called "cowboy style"