While your noodles cool, grab a small mixing bowl and add the soy sauce, creamy peanut butter, toasted sesame oil, rice vinegar, sugar, lime juice, ginger, and garlic. Whisk everything together until the dressing is completely smooth and well combined. You should see no lumps of peanut butter remaining.
Here's a pro tip from my kitchen testing: the dressing's consistency matters. If it's too thick, thin it out with a splash of soy sauce (about 1 teaspoon at a time). If it's too thin and runny, stir in a tiny bit more peanut butter. Taste as you go, and adjust the flavors to your preference. Want more tang? Add extra rice vinegar. More heat? Add fresh red pepper flakes.