Preheat your oven to 325°F. Grease or line a standard 12-cup muffin tin, and set it aside.
In a small, heavy-bottom saucepan, place 1 cup (5.5 ounces) blueberries, applesauce, and the 4 tablespoons of honey.
Cook, stirring frequently, over medium-high heat. First, the mixture will liquify and bubble up.
Continue to cook until the berries have all burst and the mixture has thickened (about 5 minutes total, less if using applesauce).
Remove the saucepan from the heat and set aside to cool briefly.
In a food processor fitted with the steel blade (or a blender), place the coconut oil, eggs and vanilla, and pulse to combine.
Add the cooked blueberries, applesauce and honey, and pulse again to combine.
Add the coconut flour, baking soda and salt, and pulse until well-combined.
The mixture will be thick and soft, like batter.
Divide the batter evenly among the prepared muffin cups, and smooth the tops with wet fingers.
Divide the remaining 1/2 cup whole blueberries among the cups, placing them in a single layer on top of the batter in each muffin cup. Press them gently into the batter.
Place the muffin tin in the center of the preheated oven and bake until the muffins are puffed and a toothpick inserted in the center comes out clean (about 22 minute).
Remove from the oven and allow to cool for at least 5 minutes in the tin before transferring to a wire rack to cool.