1 1/4 pounds peaches, halved, pitted, and cut into 1/2-inch slices (4 1/2 cups)
Confectioners' sugar, for dusting
Preheat oven to 375 degrees. In a medium bowl, whisk together eggs and flour until combined. Add sour cream, milk, granulated sugar, vanilla, and salt and whisk to combine. Pour mixture into four 2-cup baking dishes or a 3-quart baking dish. Scatter peaches in a single layer in batter. Bake until custard is browned at edges and center is set, 30 minutes. Let cool slightly. Serve warm, dusted with confectioners' sugar.