Preheat the oven to 375°F. Lightly grease 2 baking sheets, or line them with parchment paper. You will place four scones on each pan.
In a large bowl, whisk together the flour, salt, sugar, nutmeg, cinnamon and baking powder. Using a pastry blender, work in the cold butter.
In a separate bowl, whisk together the eggs, yogurt or sour cream, and the vanilla extract.
Stir the wet ingredients into the dry ingredients, making sure to incorporate all the dry ingredients.
Add the peaches, stirring just until everything is combined.
Drop the dough by the 1/3-cupful onto the prepared pans.
Bake the scones for 22 minutes, until they're light golden brown. Turn them halfway through baking. Remove them from the oven, and let them cool on the pan for a few minutes before transferring to a rack to continue cooling.
Serve warm, or at room temperature. Store at room temperature, well-wrapped, for several days; freeze for longer storage.