Preheat the oven to 400 degrees.
Combine 4 cups of flour, the baking powder, and salt in the bowl of an electric mixer fitted with a paddle attachment.
Add the butter and mix on low speed until the butter is in pea-sized pieces.
Mix the eggs and heavy cream and quickly add them to the flour-and-butter mixture.
Combine until just blended.
Toss together the cheddar, dill, bacon and 1 tablespoon of flour and add them to the dough.
Mix until they are almost incorporated.
Dump the dough onto a well-floured surface and knead it for 1 minute, until the cheddar and dill are well distributed.
Roll the dough 3/4-inch thick.
Cut into 4-inch squares and then in half diagonally to make triangles. (Or you can just use a scone pan if you have one!)
Brush the tops with egg wash.
Bake on a baking sheet lined with parchment paper for 20 to 25 minutes, until the outside is crusty and the inside is fully baked.
Adapted from Ina Garten