I just started making the low-carb muffin in a minute (which is actually quite good) and it calls for one egg. Since I'm allergic to eggs and dairy, I'm wanting to find a good sub that is not dairy. I figure vegans have some practice with this and might be able to help me out.

This is the basic mim recipe that I'm using to give an idea of what I'm working with:

1/4 c. of "flour" (I'm using 1/2 coconut flour & 1/2 flax meal)
1/2 ts. baking powder
1 egg - need replacement for this
1 ts. fat (I'm using flax oil)

Put the dry ingredients in a coffee mug, ramekin or small bowl.
Stir. Then add the egg and the fat. Mix. Microwave 1 minute (or more).

To this you can add any flavorings as desired. So far I've only added a bit of sweetener, but you can make it savory as well.

Any ideas would be greatly appreciated.

*** I should clarify that I'm not looking for a commercial "egg substitute" product, but rather an ingredient(s) that will function in the same way as the egg used in the recipe.