Preheat oven to 400°F (200°C). Line a baking sheet with a silicone liner or parchment paper.
Place the flour, sugar, baking powder, and salt in a large bowl. Whisk to combine.
Add the butter and use a pastry blender or a fork to mix until the largest pieces of butter are about the size of small peas.
Add the milk and vanilla bean paste, and stir just until combined.
Gather the dough into a ball and transfer to a lightly floured surface. (The dough will be slightly sticky. If the dough is too sticky to handle, sprinkle a small amount of flour over the dough and mix just until combined.) Using lightly floured hands, gently pat the dough into a disk about 7 inches in diameter. Cut into 6 wedges.
Carefully transfer the wedges to the prepared pan, leaving about an inch of space between wedges.
Bake 15 to 20 minutes, or until golden brown. Cool in pan on a wire rack.
To make the glaze:
Combine the confectioners' sugar, 1 tablespoon milk, and vanilla bean paste. Stir until smooth.
Add more milk, a small amount at a time, until the glaze is thick but pourable.
Drizzle the glaze over the cooled scones.
Notes
*May substitute an equal amount of vanilla extract or the seeds of 1 vanilla bean.
**May substitute an equal amount of vanilla extract or a few seeds from a vanilla bean.