Preheat the oven to 350 degrees F. Rinse the kale and shake off some of the water. Toss together the kale, garlic, peppers, 3 tablespoons of the oil, a large pinch of salt and a few grinds of pepper in a large bowl. Pile the mixture onto a rimmed baking sheet. Roast, covered with a sheet of parchment paper, until the kale is wilted and tender and the peppers are soft, about 35 minutes.
Meanwhile, coat the shrimp with the curry paste, the juice of 1 lime half and the remaining 1 tablespoon oil.
When the kale mixture is ready, remove the parchment from the top and toss it with a spatula. Top with an even layer of shrimp and roast until the shrimp are firm and cooked through, 10 to 12 minutes.
Scatter the basil, cilantro, mint and cashews over top and squeeze with the remaining lime half. Season with salt and pepper. Serve with rice and lime wedges.
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