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Spritz the baking pan with cooking spray.
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Mix the blackberries, 1 cup of sugar, and vanilla in a medium bowl and stir to combine.
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Stir together the melted butter, remaining sugar, and flour in a separate medium bowl.
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Spread the blackberry mixture evenly in the prepared pan and top with the butter mixture.
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Slide the baking pan into Rack Position 1, select Convection Bake, set temperature to 350ºF (180ºC), and set time to 25 minutes.
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After about 20 minutes, check if the cobbler has a golden crust and you can't see any batter bubbling while it cooks. If needed, bake for another 5 minutes.
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Remove from the oven and place on a wire rack to cool to room temperature. Serve immediately.