Place shrimp in a colander and rinse under cold water. Drain and pat dry with paper towels.
Heat a 14-inch flat-bottomed wok or large skillet over high heat until a bead of water vaporizes within 1 to 2 seconds of contact. Swirl in 1 tablespoon oil; add garlic and ginger and stir-fry for 10 seconds. Add the remaining 1 tablespoon oil and the shrimp and stir-fry until the shrimp just begin to turn color, 1 minute. Add bell pepper and salt and stir-fry for 30 seconds. Swirl in Sichuan Sauce and stir-fry until the shrimp is just cooked, 1 to 2 minutes. Serve immediately.
Chinkiang is a dark, slightly sweet vinegar with a smoky flavor. It is available in many Asian specialty markets. If unavailable, balsamic vinegar is an acceptable substitute.