Enjoy classic shrimp scampi lightened up with a white wine-butter sauce and zucchini noodles in place of pasta. The tomatoes add some sweetness and color, while the cheese contributes nuttiness and richness.
Heat butter and 1 tablespoon of the oil in a large skillet over medium-high until butter melts, about 1 minute. Add shallot; cook, stirring occasionally, until softened, about 3 minutes. Add garlic; cook, stirring constantly, 1 minute. Add wine and stock; cook, undisturbed, until liquid reduces by half, about 2 minutes. Add shrimp, pepper, and 1/2 teaspoon of the salt; cook until shrimp are just cooked through, about 3 minutes, turning shrimp once halfway through cook time. Transfer shrimp to a plate and set aside. (Reserve shallot sauce in skillet.)
Add tomatoes and remaining 2 tablespoons oil to skillet. Cook over medium-high, undisturbed, until tomatoes just soften, about 1 minute. Add zucchini and remaining 3/8 teaspoon salt; toss to combine. Return shrimp to skillet; cook, stirring constantly, until mixture is heated through, about 1 minute. Remove from heat; add 2 tablespoons of the Parmesan and toss to combine. Divide mixture evenly among 4 bowls; sprinkle with parsley and remaining 2 tablespoons Parmesan. Serve immediately.