I make mini-muffins with my DD, maybe this would work? This basic template makes 12 mini muffins, so I would make them at least 2 times a week and mix things up.
1/2 cup white or whole wheat flour, or a mix of the 2
1/2 teaspoon baking soda
1/4 teaspoon salt
2 - 4 tablespoons sugar (depending on how sweet you want it, 4 tb is more like a dessert type muffin)
2 tablespoons oil
2 tablespoons milk or yogurt (I would try substituting 2 tb of oil since you need dairy free, but if that tastes too "oily" then just use soy or other milk next time)
1 egg
1/2 teaspoon vanilla
approx 1/3 cup of anything you have handy in the house that tastes good in muffins: mashed banana, peanut butter, applesauce, blueberries, strawberries (cut up small) etc etc.
Optional: 1/2 teaspoon cinnamon, or a pinch of nutmeg if you are using blueberries, applesauce or bananas. also mini chocolate chips if you are using peanut butter or bananas. you can even make peanut butter banana chocolate chip muffins too.
I usually put the wet ingredients in the bowl first and whisk that together and then add the dry ones so I only need to use 1 bowl, and when my DD was 2, I would just pull up a chair to the counter and have her help me do everything. Bake at 350 (preheat oven first) for 10-12 minutes. Make sure to grease the muffin tins, I would just use a spray like Pam.