Preheat oven to 425 degrees (220 degrees C).
In a large bowl, whisk together flour, baking powder, and salt. Mix in the butter until mixture resembles a coarse sand. Mix in the fresh dill and cheddar cheese. Gradually pour in the heavy cream and milk, mixing until just combined.
Turn out dough on a lightly floured surface and bring together until it forms a ball. If you need to knead the dough to bring it together, do so but no more than 10-12 times. Flatten the dough ball to roughly an 1-inch thick round and, using a 2-inch round cookie cutter or drinking glass of equivalent size dipped in flour, cut out biscuits until all dough is used. Place biscuits on a baking sheet and bake for 15-18 minutes, or until tops of biscuits are lightly browned.
Serve warm, with a pat of butter if desired.
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