Preheat oven to 400°F and line a baking sheet with parchment or reusable liner.
In a large bowl, combine flour, granulated sugar, baking powder, salt, and baking soda.
2 1/2 cups all-purpose flour, 1/4 cup granulated sugar, 2 teaspoons baking powder, 1 teaspoon salt, 1/4 teaspoon baking soda
Cut in butter using a pastry blender, two knives, or your fingers, until mixture resembles wet sand.
6 tablespoons cold butter
Stir in strawberries, making sure they get coated with flour mixture.
6 ounces strawberries
Stir in buttermilk, taking care to incorporate the dry ingredients well while not crushing the fruit. Mix until a shaggy dough forms,
1 cup buttermilk
Turn out dough onto a lightly floured surface and pat into a 1/2 inch thick rectangle. Fold once, pat again, and fold again. Repeat as needed for dough to look smooth but not be overworked, adding a small amount of flour as needed just to prevent sticking.
Pat into a rectangle or circle and cut out biscuits. Reshape as needed to cut remaining dough.
Place biscuits on a baking sheet, slightly separated. Bake for 18-20 minutes, until golden brown. Cool on a wire rack.
To make the icing, whisk together the powdered sugar and milk until smooth. Add more sugar or milk to get the desired consistency; it should be pourable but not too runny. Drizzle over cooled biscuits.