Well, even if people are sick of me recommending this one, I'll again give my opinion that Crystal Palace is the best bkfst. place. You can eat very healthy there...and get to see Pooh & Co.
They have a ton of fresh fruit, yogurts, oatmeal, dry cereals and whole grain breads. I know they have an omelet station, but since I try and avoid eggs I can't say for sure if an egg white omelet is an option. You could call DD or even the restaurant itself and ask them, but I wouldn't be surprised if they did. I know I try and eat healthy and I always leave there very full but not from crap food.