Add the rest of the filling ingredients. Now add the golden brown sugar, salt, cornstarch, vanilla extract, and almond extract, and mix it all together. Pour it into a 9-inch pie dish and bake at 370 degrees Fahrenheit for 20 minutes.
Mix the topping ingredients. In a separate bowl, combine the all-purpose flour, baking powder, salt, and granulated sugar. Then add the cubed unsalted butter and break it up with your hands or a pastry cutter.
Add the buttermilk. Now pour in the buttermilk and mix it with a wooden spoon.
Scoop the topping on. Using a cookie scoop, dollop scoops of the dough on top of the baked peaches.
Bake. Brush the cobbler dough with melted butter and sprinkle it with coarse sugar. Bake at 370 degrees Fahrenheit for 35 to 40 minutes. Serve warm.