Preheat oven to 350 degrees and grease a muffin tin.
Place carrots in food processor and pulse a few times until they are grated.
Add in the egg, sugar, applesauce, vanilla and coconut oil and blend until combined.
In a separate bowl, sift & mix together together all dry ingredients (flours, baking powder, baking soda, cinnamon and salt).
Pour wet ingredients into the dry and gently fold together. Don't over mix.
Scoop batter into the greased muffin tin - approx ⅓ cup batter per muffin.
Bake for 15-18 minutes, use a toothpick to check for doneness. Don't over bake.
Let cool completely before frosting.
Make the coconut whip by carefully opening the coconut milk can and scooping off the thick solidified part on the top. Don't move or shake the can too much, it's important that the solid and liquid parts stay separate. (save the liquid part for another use).
Whisk the solid part vigorously by hand (or in a mixer).
Add maple syrup or powdered sugar to make it as sweet as you like.
Spoon a dollop on each muffin and sprinkle with a dusting of cinnamon.