I do know I've read warnings about keeping instant pancake and just add water/milk cake mixes in your prepper supplies as they do go bad and can become toxic and its recommended to store flour instead. If you do dehydrate I suggest you bag the dehydrated eggs with as little air as you can, then place that into another bag and do the same. This double bag method is one reason military MREs last up to 5 years. Double bagging drastically reduces how quick the air can work past seals. To me, dehydrated foods are really for campers/hikers who are worried about weight than home storage for a disaster.
We usually keep a dozen eggs in the fridge but our extras in a carton in the cupboards, just turn them over every week, for up to a month before they become the ones transferred to the fridge. You could also pickle them for long term storage. Water glass or lime water can be used to keep them fresh for up to 5 months, or coat them with mineral oil to be good for 9 months and even up to a year, or so they say. I'd say if you just worried about a power outage though, put them in a fridge for a few days to make sure they don't start growing if power goes out in summer temps and it will be fine to store on shelves for a month easy.
If you are worried about having too many, you could be creative with how you use them, instead of mashed potatoes for a meal, make this tasty Russian dish instead.
http://allrecipes.com/recipe/kartoshnik-with-cheese-and-onions/detail.aspx If you make it right, you will end up with a souflee like potato dish that is light and airy, but even if it doesn't rise will still taste very good. I've made it with both fresh potatoes and instant potatoes and liked it better with the instant (instant made by package directions then used as if mashed fresh,) but may not have had enough liquid and/or baking powder when used fresh potatoes.
An article about mineral oil preservation here
http://www.offthegridnews.com/2012/03/05/preserving-eggs-for-the-long-term/ and lime water recipe here
http://www.theoldfoodie.com/2009/04/preserving-eggs-otherwayes.html and a Mother Earth News report on testing various methods and their findings in this article
http://www.motherearthnews.com/Sustainable-Farming/1977-11-01/Fresh-Eggs.aspx#axzz2Q5l77594
And of course, hatch and sell the chickens not bad either. Seems to be a lot of people on Craigslist willing to buy hens at a decent price nowadays. Maybe even consider selling fertile eggs to someone wanting to incubate too.
