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To make the crust: In a medium bowl, whisk together the dry ingredients. Work in the butter until the mixture is crumbly. Add the water, mixing until the dough is cohesive.
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Divide the dough in half. Pat each half into a 1/2"-thick rectangle, wrap in plastic, and chill for at least 30 minutes.
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To make the filling: In a blender or food processor, blend the cashews and water until smooth and creamy; set aside.
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In a large skillet set over medium heat, melt the butter and sauté the onion until softened.
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Add the artichoke hearts, garlic, salt, and peppers and cook for about 2 minutes.
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Add the spinach and lemon juice and cook for 2 minutes. Remove from the heat and stir in the cashew cream.
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Cool to room temperature, then stir in the Parmesan shreds.
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To shape and bake: Preheat the oven to 400°F. Grease a baking sheet, or line it with parchment.
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Roll each half of dough into a 10” x 15” rectangle 1/8" thick. Cut nine 3 1/3" x 5” rectangles from each.
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Spoon 2 tablespoons of the filling onto half the rectangles, lightly brushing their edges with water.
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Cut a vent in the remaining rectangles and stretch each out a bit in all directions to enlarge slightly. Place the vented rectangles over the filled rectangles. Crimp the edges of the pies with a fork to seal.
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Transfer the hand pies to the baking sheets. Brush the tops with aquafaba or plant milk, if desired.
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Bake the pies for 18 to 22 minutes, until golden brown. Remove them from the oven and serve warm.
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Storage information: Store any leftover pies, well wrapped, in the refrigerator for a couple of days; freeze for longer storage.