Preheat oven to 450º
In a medium size bowl, stir together flour, baking powder, dry mustard, baking soda, onion powder and dried basil until mixed well.
Using a wooden spoon, stir in sour cream, ham and milk, mix until a soft dough forms.
Knead for 30 seconds on a floured surface, then pat into a 7-inch circle. Using a well floured 1-inch scalloped or round cutter, cut into biscuits; re-roll scraps and cut with cutter. Place biscuits 1-inch apart on a lightly greased baking sheet, brush tops with additional milk.
Bake for 10 minutes or until golden brown.
Meanwhile, using a 1-inch cutter, cut into cheese slices. Cut out 30 cheese shapes.
Serve biscuits with cheese and mustard.