Preheat the oven to 425 degrees F. Grease muffin pans or line with paper liners.
For the batter: In the bowl of a stand mixer, combine the yogurt, peaches, brown sugar, cane sugar, canola oil, vanilla and egg. Mix until combined. In a separate medium bowl, whisk together the flour, baking powder and baking soda. Add the dry ingredients to the wet ingredients and mix until just combined.
For the topping: Combine the bran, walnuts and sugars in a food processor and process until coarsely ground. Stir in the melted butter.
Fill the prepared muffin cups with batter and divide the crumb topping over each muffin. Bake the muffins until a toothpick inserted in the center comes out with moist crumbs attached, 15 to 18 minutes.
Transfer to a cooling rack and allow to cool completely.