Crust:

1 1/4 cup flour
1 1/2 teaspoons sugar
1/2 teaspoon salt
4 oz (1/2 cup, 1 stick, 8 Tbsp) butter, cut into small (1/2-inch) cubes, chilled in freezer at least 15 minutes, preferably an hour
4 to 6 Tbsp ice water

Filling:

2 large, not-overly-ripe yellow peaches (about 3/4 pound total), pitted, sliced into 1/4-inch to 1/2-inch slices
3 Tbsp sugar
1 Tbsp flour
1/2 teaspoon vanilla extract
1 Tbsp almond paste (optional)
1 teaspoon butter

1 egg
A sprinkling of coarse sugar (optional)