To prepare shortcakes: Preheat oven to 400 degrees F.

Whisk cake flour, whole-wheat flour, sugar and baking powder in a large bowl. Cut in butter using two knives or a pastry cutter until the pieces are about the size of peas. Cut in cream cheese until it's the size of peas. Drizzle oil over the mixture; stir with a fork until just combined (the mixture will be crumbly). Make a well in the center and add egg and buttermilk. Gradually stir the wet ingredients into the dry ingredients with a fork until the mixture is evenly moist. Knead the mixture in the bowl two or three times until it holds together.

Turn the dough out onto a lightly floured surface. Dust with flour and roll into an 8-by-10-inch rectangle about 1/2 inch thick. Cut the edges square using a butter knife. Cut the dough into 12 equal shortcakes. Transfer to a baking sheet.

Bake the shortcakes until puffed and lightly golden, about 20 minutes. Let cool slightly.

To prepare filling: Toss strawberries with sugar in a medium bowl. Whisk whipping cream in a medium bowl until it's thick and holds its shape, 1 to 2 minutes. Whisk in sour cream until combined.

To serve, split the shortcakes horizontally. Spoon the berries and juice onto the bottoms, top with the cream mixture and replace the shortcake tops.

Ingredient Note: Whole-wheat pastry flour, lower in protein than regular whole-wheat flour, has less gluten-forming potential, making it a better choice for tender baked goods. You can find it in the natural-foods section of large super markets and natural-foods stores. Store in the freezer.

Tip: No buttermilk? You can use buttermilk powder prepared according to package directions. Or make "sour milk": mix 1 tablespoon lemon juice or vinegar to 1 cup milk.