Preheat oven to 450 F degrees. Melt butter in 4 qt braising pan or 12" oven safe skillet over MED-HIGH heat. Add carrots and shallot. Cook until the shallot is softened, 2-3 minutes, stirring occasionally.
Sprinkle the flour, rosemary, oregano, basil, thyme, marjoram, sage, salt and pepper over the vegetables and stir to coat completely. Cook for 1 minute to cook out the floury taste.
Add the chicken stock, chicken pieces, milk and peas to the pan. Bring to a boil, then reduce heat to simmer. Cover the pan and cook 5 minutes.
While chicken mixture is simmering, add 2 Tbsp of the butter to a large microwave safe mixing bowl. Microwave 30 seconds, or until the butter is melted. Add flour, baking powder, sugar, garlic powder, and ½ tsp kosher salt. Stir until combined. Pour in the milk and stir until the flour is all wet; do not overmix. Fold in the cheese
Uncover the pot and drop heaping spoonfuls of biscuits on top of the chicken stew. Transfer to the oven and bake 10-12 minutes, until golden brown.
Melt remaining 2 Tbsp butter in a small bowl. Add the remaining ¼ tsp kosher salt and dried parsley. Stir with a pastry brush. Remove pan from oven and brush the biscuits with the melted butter mixture.
