I have tried taking along powdered egg from the whole foods store and cooking it, never have been successfull in getting it to taste good or feel right in the mouth.  Apparently this item is just for adding to recipies, which does work fine in my experience.  I do not mind the omelet instant camping breakfasts from Backpacker Pantry or Mt. House.  What do you suppose is the difference in the eggs???  Can one find these "campfire" eggs somewhere, in bulk? What are they called?
I have also tried egg beaters, easy to carry, and do last about a week with no problem and not much worry about keeping cool.  They work best as an extender for regular eggs, not too wild about them on their own merits.
I usually take a dozen regular eggs in a plastic egg holder made for camping.  With care the eggs stay whole by placing on top of the pack or separately in the canoe/kayak during travel.  I check them every day to make sure to use any which might have been broken recently.  I always put the egg holder into a double wrapping of zip-lock bags, then if they break, they do not make a mess of the rest of the food pack.  Anybody with thoughts on where to buy bulk, better tasting, better cooking, powdered egg??   ???

I personally wouldn't burn styrofoam anywhere much less in the park. But what do I know we have never bothered with eggs.

Mountain House backpack foods have three precooked egg
entriees that are tasty. They pack in and out efficently as well.  Add boiled water and chow. Their pork patties complement the eggs nicely.  I like eggs for breakfast.

I never had good luck with the hydrate and fry dehydrated either. yukky in a word.

We take the powdered but never eat them alone.  We add all the things TwistTie mentioned and put it all on a tortilla with hot sauce for a pretty good breakfast burrito.  With enough fixins and hot sauce, all you get it texture from the eggs, not flavor.

We take a dozen large eggs in their store carton, double-wrapped in a brown grocery bag and duct-taped under the stern seat of the canoe.  Always find the coolest shady place to put them when we arrive at camp.  We usually go in spring or fall, so the weather is cool.

In the event of really hot weather we use them up in a by the third day, but if it is cool, have no trouble in keeping them 4-5 days.  There are only two of us, and we like an egg apiece for breakfast.

After these are gone we use the Backpacker's Pantry Denver Omelette.  It is the only powder egg product I have had that I enjoy, but I do take regular powdered eggs along for adding to pancake mixture or cakes.

If I lived in the Chicago suburbs like my daughter, I would buy the pasteurized in the shell eggs.  Can't seem to get them around here.