I just thought of this. Have you tried teaching her a "find the egg" game? There are ways to teach your dog to sniff out eggs and bring them to you. If she associated "bring egg" with "I'm the most awesome dog in the world" she may be less inclined to gobble them down. Especially if she's rewarded with praise and tasty treats.
Here's a link to the article:
http://www.motherearthnews.com/Sustainable-Farming/1987-11-01/Playing-The-Egg-Game.aspx
Here's a link to the article:
http://www.motherearthnews.com/Sustainable-Farming/1987-11-01/Playing-The-Egg-Game.aspx