Preheat the oven to 400 degrees F. Line a sheet pan with parchment paper.
Pat the tofu dry with a towel. Wrap it with a dry towel and place a cast iron pan or cutting board on top to remove more liquid. Let stand for 15 minutes. Cut the tofu into 1-inch cubes.
Toss the tofu with 1 tablespoon oil and 1 tablespoon soy sauce in a large bowl. Sprinkle with the cornstarch, gently stirring until all the tofu cubes are coated.
Arrange the tofu in a single layer on the prepared sheet pan. Bake for 25-30 minutes until it is browned, flipping over halfway through baking.
For the dressing, whisk together the peanut butter, ginger, garlic, miso paste, salt, pepper, lime juice, soy sauce and oil in a small bowl.
For the salad, combine the coleslaw mix, carrots, romaine, scallions and peanuts in a large bowl. Drizzle in half the dressing and toss to combine.
Add the tofu and toss again, adding more dressing as desired.