Preheat your oven to 325°F.
Pour the melted butter into a 9-inch round baking dish, swirling to coat the bottom and sides.
Gently arrange the peaches on top of the butter. It’s fine if they overlap.
In a medium bowl, gently whisk together the flour, sugar, and baking powder. Stir in the milk with a spoon until everything is fully incorporated and you have a soft dough.
Using floured hands, pinch pieces from the dough and place on top of the peaches. Leave a little space for them to rise and gently touch while still allowing the juices from the peaches to bubble around them. (You’ll see that the dough spreads and the pieces socialize with each other.)
Bake until the dough pieces have spread and are golden brown, and the peaches are caramelized underneath and around the biscuits.
To serve, scoop up a spoonful of peaches topped with the biscuits.
Cover with a lid or plastic wrap and store in the refrigerator for up to 2 days.