Preheat the oven to 400°F (200°C).

Combine cherry tomatoes, bell pepper, onion, olive oil, garlic, lemon juice, lemon zest, red pepper flakes, black pepper, Italian seasoning, basil, and sea salt in a 13x9-inch baking dish.

Make room in the middle of the pan and add block of feta cheese. Flip in oil, making sure cheese remains intact and becomes well coated.

Bake in the preheated oven until the cherry tomatoes begin to blister and split, approximately 40 to 45 minutes.

Meanwhile, bring a large pot of lightly salted water to a boil. Add pasta and cook, stirring occasionally, until tender yet firm to the bite, about 11 minutes. Drain and reserve about 1 cup of the pasta water.

Remove feta-tomato mixture from the oven. Mash garlic, tomatoes, onions, and peppers with a heavy spoon and mix with the feta cheese, creating a sauce.