In a 4- to 6-quart slow cooker, toss carrots, celery, onion, and flour. Place chicken on top and season with poultry seasoning, 1 teaspoon salt, and ¼ teaspoon pepper, and then add wine and broth.
Cover and cook until the chicken and vegetables are tender, on low for 5 to 6 hours or on high for 2 ½ to 3 hours (this shortens the posted total cooking time).
At 30 minutes before serving, prepare the easy drop biscuits (or store-bought biscuit dough).
At 10 minutes before serving, add peas, cream, and ½ teaspoon salt to the chicken mixture and stir. Cover and cook until heated through, 5 to 10 minutes more.
To serve, place the bottom half of each biscuit in a shallow bowl, and then top with chicken mixture and the remaining biscuit half.
