Step 1Bring a large pot of water to a boil over high. Meanwhile, fill a large bowl with ice and water. Add peas to boiling water; cook until crisp-tender and bright green, about 1 minute. Transfer peas to prepared ice bath using a slotted spoon, reserving boiling water in pot. Let peas cool for 2 minutes. Drain peas, and pat dry with paper towels; transfer to a large bowl. Set aside.
Step 2Add noodles to boiling water, and cook according to package directions. Drain noodles. Rinse under cold water until noodles are completely cool, and drain well.
Step 3Add noodles, carrots, bell pepper, and salt to bowl with peas; toss to combine. Refrigerate, uncovered, while preparing ginger-scallion dressing.
Step 4Heat vegetable oil and sesame oil in a medium skillet over medium-high. Once hot, add crushed red pepper; cook, stirring often, until fragrant, about 30 seconds. Add scallions and ginger; cook, stirring occasionally, until scallions are softened, 1 to 2 minutes. Remove from heat. Stir in rice vinegar and soy sauce. Set aside to cool slightly, about 10 minutes.
Step 5Pour warm ginger-scallion dressing over noodle mixture; toss until thoroughly combined. Season with additional salt to taste. Garnish with additional scallions.