Easy Shrimp Scampi with Zucchini Noodles

Name: Easy Shrimp Scampi with Zucchini Noodles
Ingredients: 2 tablespoons unsalted butter; 3 tablespoons extra-virgin olive oil, divided; 1 medium shallot, finely chopped (about 1/4 cup); 2 medium garlic cloves, finely chopped; 2 tablespoons white wine; 2 tablespoons unsalted chicken stock; 1 pound large shrimp, peeled and deveined; ½ teaspoon black pepper; ⅞ teaspoon kosher salt, divided; 1 cup multicolored cherry tomatoes, halved; 6 cups spiralized zucchini (from 2 [10.7-oz.] pkgs.); 4 tablespoons pregrated Parmesan cheese, divided; 2 tablespoons chopped fresh flat-leaf parsley