Preheat oven to 450˚F.
Pour flour, baking powder, salt, and baking soda in a mixing bowl and whisk together.
Add butter and evenly mix into dry ingredients, with your fingers, until mixture is crumbly.
Fold in cheese, ham and herbs until evenly distributed. Add buttermilk and stir until dough just comes together.
Turn dough onto a clean, lightly floured surface and roll out until 1 inch thick, using a rolling pin.
Using a 4 inch circle cutter, cut out 10 biscuits, making sure to cut straight up and down without twisting.
Transfer each biscuit to a parchment lined baking sheet spaced 1inch apart and freeze for 10 minutes.
Remove from freezer and brush tops with melted butter. Bake biscuits for 12 to 15 minutes or until golden brown . Remove biscuits from oven and cool until warm. Serve.