Nonfood Allergies & Wacky Cake

J's results came back--as of now, she does not have celiac disease (phew?). We will really be able to celebrate once we have done the genetic test. I am relieved for now, but my eyebrows are raised. A negative test now means she doesn't have it now, but it doesn't mean she won't ever have it. We'll keep our fingers crossed and hope for the best.
J's allergy test panel came back as well, revealing that J is allergic to...dust mites. Severely allergic, it turns out. I was so busy preparing myself for my worst case scenario ("J can eat wheat, but nothing with corn, rice, or soy") that I was a little surprised by this result. Then, of course, it makes perfect sense. She coughs more in bed (a haven for dust mites). her wheeze worsened as the week with the humidifier progressed (mites love warm, humid spaces). And she didn't develop the allergy until we moved to a temperate, humid place (as opposed to high desert dryness that makes her itch like crazy).
I am so grateful that she does not have a separate food allergy we'd have to worry about at this time. Just thinking about it made me appreciate more what people with multiple food allergies have to go through everyday. Sure celiac disease is hard, but also subtracting milk products or eggs?
We faced this kind of dilemma for G's first birthday party. A dear friend of ours is allergic to peanuts, eggs, and milk. Her mom sent me this recipe called Wacky cake. It comes from the site kids with food allergies. You can find the site and the original recipe here.
I have not worked with this recipe to make any successful changes, but I'm intrigued by the possibilities of baking without dairy or eggs.

Wacky Cake
1 3/4 cups rice flour, or gluten-free blend
3 Tbsp cocoa powder (optional)
1 cup sugar
1 tsp baking soda
1/2 tsp salt
1 Tbsp vinegar
5 Tbsp oil
1 tsp vanilla
1 cup water
--------------------------------------------------------------------------------------
Preheat oven to 350F.
Combine dry ingredients in a mixing bowl and mix thoroughly.
Mix wet ingredients in a separate bowl and stir to combine.
Add wet ingredients to dry ingredients and mix until you get a smooth batter. Do not beat.
Pour into greased and floured pan (8" square or 9" round) or 12 cupcakes. Bake in oven until tests done - about 35 minutes for cake, about 20 minutes for cupcakes.

If dairy is an option, any icing will be great. If not, a basic icing of powdered sugar and water will work beautifully.