Good advice so far.
You can keep them for six months or more in the fridge--you'll know if they've gone bad when you open them up.
As for emptying your fridge, Craigslist is not the best avenue for duck egg sales. Instead, try:
* Chefs, either personal chefs or restaurant chefs
* Bakers--they love the loft duck eggs provide
* Asian markets--Asian cooks know what to do with duck eggs!
I never sell mine for less than $4 a dozen. If they won't sell for that, I give them as gifts. They are too valuable in terms of my time and investment to be selling them for pocket change. My usual price is $5 a dozen, with discounts for regular customers.
I have also traded mine for vegetables, plants, and milk. I'd like to trade for meat, but haven't had any luck on that score yet. I only trade for products of equal or greater quality. I believe in the power of good nutrition and to me, good nutrition starts with what my food eats. So I will trade my free-range, vegetarian-fed, humanely raised duck eggs for organically grown produce from healthy soils, raw milk from pastured cows, or meat from naturally raised and humanely slaughtered animals. We do eat junk food around here, but we try to base the core of our diet around those foods.
Other things you can do with your eggs:
* Freeze them for winter. Buy a set of two ice cube trays at the dollar store (unless you already have trays). Crack a dozen eggs into a bowl and lightly beat them until the yolks & whites are mostly combined & to remove some of the stiffness from the whites. Then pour the eggs into the trays--a dozen will neatly fit. Freeze. Then crack them into a bowl and store them in quart-sized freezer bags. Be sure to label them because they look a lot like frozen mango or peach!
* Boil a few dozen and pack them in lunch boxes to share with friends.
* Bake a quiche or two or three.
* Call the food pantries and find out if they can use them.
Good luck! I was facing the same issue not too long ago. My girls are slowing down and only giving me four or five eggs a day now, so I'm finding it more manageable. But there was a period there where I was getting a dozen eggs a day and having a hard time finding outlets for them all. The good news is, if my girls decide to stop laying for a month or two, I'm all set--eggs in the freezer!
Have fun.