Summer Shortcake

Name: Summer Shortcake
Ingredients: 2 1/2 cups all-purpose flour, plus more for dusting; 1/4 cup granulated sugar; 1 teaspoon baking powder; 1 teaspoon baking soda; 1 stick (8 tablespoons) cold unsalted butter, cut into 1/2-inch pieces; 8 ounces cold cream cheese, cut into 2-inch pieces; 3/4 cup buttermilk, plus more for brushing; Raw sugar or fine sanding sugar, for sprinkling; 2 pints blueberries; 2 pints strawberries, hulled (small berries left whole, large berries halved lengthwise); 3 tablespoons granulated sugar; 2 cups (1 pint) heavy cream; Raw sugar or fine sanding sugar for sprinkling