Preheat oven to 400 °F. Line a baking sheet with parchment paper or coat lightly with cooking spray.
Stir together flours, baking powder, baking soda and salt in a mixing bowl. Using a pastry blender or two table knives, cut in cream cheese and butter until pea-sized lumps form. Stir in buttermilk with a fork. Gather the dough into a ball and knead it several times in the bowl until smooth.
Turn the dough onto a lightly floured surface. Pat into a smooth, 1/2-inch-thick disk. With a 3-inch cutter, cut out rounds. Repeat with dough scraps until you have 10 biscuits. Brush tops with fat-free milk. Place on the baking sheet and bake until golden, 15 to 20 minutes.