Preheat the oven to 400 degrees F. Spray a baking sheet with cooking spray.
Put the flour, chives, baking powder and salt in a mixing bowl and stir to combine. Whisk together the sour cream, evaporated milk and butter in a small mixing bowl. Pour the wet into the dry and mix using a light hand just until combined.
Lightly flour a bread board, turn the dough out onto the board and knead 6 to 8 times. Pat into a 3/4-inch-thick round. Dip a 2-inch biscuit cutter in flour and cut out rounds from the dough. Place on the prepared baking sheet and brush the tops with more melted butter. Bake until golden brown, 20 to 22 minutes. Serve with fresh butter and sliced ham.
When working with the dough, make sure to always use a light hand when mixing.