Frilled edges and a curled shape make campanelle (Italian for "little bells") ideal for catching and holding this creamy ham-and-zucchini-studded sauce. Farfalle is another good shape for this combination.
Bring a large pot of water to a boil. Cook pasta according to package instructions until al dente. Drain.
Toss pasta with yogurt, ham, zucchini, scallions, mint, 1/2 teaspoon salt, and some pepper. Drizzle with oil.