2 1/2 cups all purpose flour, plus more for rolling
2 tablespoons granulated sugar
1/2 teaspoon salt
10 tablespoons (1 1/4 sticks) chilled unsalted butter, cut into 1/2-inch cubes
1/2 cup chilled solid vegetable shortening, cut into pieces
4 to 7 tablespoons ice water or more, if needed
3 pounds mixed yellow and white peaches, peeled, pitted, sliced about 1/2-inch thick
1/3 to 1/2 cup light brown sugar
1/3 to 1/2 cup granulated sugar
1 1/2 teaspoons ground cinnamon
1 1/4 teaspoons ground ginger
1/2 teaspoon ground fresh nutmeg
2 tablespoons peach eau de vie
1/4 cup cornstarch or tapioca
1 cup fresh blackberries
2 tablespoons cassis
2 tablespoons cold butter, cut into small pieces
2 to 3 tablespoons heavy cream
2 to 3 tablespoons turbinado sugar