Adjust oven rack to the lower third of the oven. Preheat the oven to 350 °F (175 °C) and grease a 2-quart (2-liter) casserole dish or an 8 × 8-inch (20 × 20 cm) baking dish. Place a rimmed baking sheet on the lower rack of your oven. This is on the off chance that something leaks.
In a large mixing bowl, stir together the dry ingredients (flour through salt).
2 cups (250) flour, 1/2 cup (100 grams) granulated sugar, 1/4 cup (50 grams) brown sugar, 3/4 teaspoon baking powder, 1/4 teaspoon salt
Add the vanilla to the melted butter and stir into the dry mixture. Use a wooden spoon to combine it the best you can, then use your hands to bring it together. It’ll look soft and slightly clumpy. It won’t form a smooth ball, but it should hold together when pressed between your fingers.
1 teaspoon vanilla extract, 3/4 cup (168) unsalted butter,
Prepare the fruit filling. In a large mixing bowl, mix together the sugar and cornstarch.
1/3 cup (66 grams) granulated sugar, 1 1/2 tablespoons (15 grams) cornstarch if using fresh berries or 2 1/2 (25 grams) if using frozen
Add the fresh or undefrosted blackberries to the bowl, sprinkle the lemon juice, vanilla and lemon zest over the top, and coat the blackberries in the sugar mixture.
5 1/2 cups (750 grams or 26 ounces) fresh or undefrosted blackberries, 1 tablespoon lemon juice, 1 teaspoon vanilla, 2 teaspoons lemon zest
Spoon the fruit mixture into the pan and distribute the topping evenly over the top. It’ll be a thick layer of topping. Press down slightly so there aren’t pointy bits that might burn.
Place the crisp on the middle rack of your oven and bake for 35-45 minutes or until the topping is firm and the edges and center are bubbly (you want the center bubbly or else the cornstarch won’t activate, which happens around 203 °F). Let cool for 30-40 minutes, which will give the juice some time to thicken a little, for the fruit to soften more and become more jammy.
Let cool completely, then cover and refrigerate for up to 4 days. It’s also fine at room temperature for up to about 24 hours, loosely covered. You can rewarm it in the oven at 350 °F (175 °C) for about 10 minutes, which helps dry out and re-crisp the topping a bit (but it won't be as crisp as fresh).