Preheat the oven to 450℉. Line baking sheet with parchment paper or silicone mats.
In a small bowl, toss the cheese, bacon, and chives with the extra tablespoon of flour. Set aside.
Put the flours, baking powder, and salt in a bowl and whisk to combine. Add your cold, diced butter to the bowl, distributing it evenly over the dry ingredients. Use a pastry blender to cut the fat into the dry ingredients until you have pea sized chunks. A few larger chunks are fine.
Pour the milk over the mixture and use a spoon or spatula to gently combine. Add the cheese, bacon, and chive mixture. Gently fold the ingredients into the dough just until evenly distributed.
Turn the dough out onto a lightly floured surface and knead for less than 1 minute, just to bring it together. Pat or roll the dough into a circle about 1/2 - 3/4 inch in thickness.
Using a biscuit cutter or a glass, cut the dough into circles. Place the biscuits onto the prepared baking sheet. Space them apart for crispy sides, or close together for soft sides.
If you like, brush the tops of the biscuits with melted butter (salted is better for this). Bake for 10- 15 minutes, depending on the size of your cutter. They should be a light golden brown.
Notes
Depending on the size of your cutter and the thickness of your dough, you can get 7- 14 biscuits out one batch.