Cake – Why do the pancakes taste dry

Given your updated criteria, what about using powdered milk for crepes and pancakes? Powdered milk tends to be very inexpensive. You can usually find in in the baking aisle at groceries in the U. S. The powdered milk will last you for a long time.

You can also get powdered eggs. Just google for them.

As Martha astutely commented below, look for recipes for pancake mixes that require adding only water and pack those.

If it doesn't contain eggs, or at least something that serves as a substitute for eggs, it's not a crepe. Crepes cook quickly because eggs need very little time/heat to set up. Like justkt said, what you've described is a tortilla. I'm not exactly sure how or why a tortilla "sets up" (if you can even use that term for a flatbread), but it's a completely different mechanism than cooking eggs, and takes a much longer time.