Cook the Noodles: Bring a large pot of salted water to a boil. Add the Szechuan-style egg noodles and cook according to package instructions until al dente. Drain and rinse under cold water to stop the cooking process. Set aside.
Prepare the Sauce: In a small bowl, mix together soy sauce, rice vinegar, and sesame oil. Set aside.
Heat the Oil: In a large pan or wok, heat vegetable oil over medium-high heat. Add minced garlic and grated ginger, and sauté for about 30 seconds or until fragrant.
Toast the Peppercorns: Stir in the Szechuan peppercorns and cook for an additional minute, allowing the flavors to bloom.
Add Vegetables: Toss in the sliced bell pepper and julienned carrot. Stir-fry for about 3-4 minutes until they begin to soften.
Combine Ingredients: Add the cooked noodles to the pan along with the chili paste and prepared sauce. Toss everything together until the noodles are well-coated and heated through, about 2-3 minutes.
Garnish and Serve: Remove from heat and stir in chopped green onions. Plate the noodles and garnish with fresh cilantro and crushed peanuts for added texture and flavor.