i don't know how people feel about egg beaters but there way better than any freeze dried or powdered egg.
i froze my cartons before the trip and kept froze in cooler until put-in.
 i put in zip lock bag and buried in pack for insulation.
 when they thawed out i emptied cartons into a naglene bottle and wrapped bottle with a cotton dish towel that i had soaked in water.
i kept out of sun, under the seat or between pack and bottom of canoe.
the evaporation kept the eggs good and with a little diced onion they made a nice omlette.
of course i go in late may for walleye opener and the water is still cold.
if you had a small soft-sided cooler and did the evaporation thing i think they would last a long time??
i've also read on the Canadian canoing web site about cracking the whole eggs gently into a quart naglene bottle and "pouring" off what you need.
haven't tried that but if you can keep them cool then the worst you would have is "scrambled" eggs.
hope this is of some help??