Preheat the oven to 350 degrees F. and line a 12-cup muffin tin with parchment muffin liners.
Mash the bananas in a medium-size bowl until smooth, but a few small lumps remain.
Add the egg, melted and cooled butter, yogurt, and vanilla. Whisk until blended.
In a separate bowl, whisk together the flour, oats, maple sugar, baking powder, baking soda, and salt until blended.
Add the flour mixture to the wet mixture and stir until just blended.
Toss the blackberries with 1-2 tablespoons of flour, shaking off any excess, and gently fold them into the batter.
Scoop the batter, evenly, into the lined muffin cups filling all the way to the top and sprinkle the tops with a pinch of coarse sugar (or maple sugar), if desired.
Bake for 20-25 minutes, until a toothpick comes out clean with moist crumbs. Allow the muffins to cool in the pan for 5 minutes, then transfer to a cooling rack to cool completely.