Preheat grill with one burner on high or one burner (3-burner) on high plus one on low (4-burner). Remove chicken from plastic, and remove bagged chicken parts from inside.
Insert beer can with beer into rack. Place chicken on top, and insert as many of the vegetables into the cavity of the chicken as possible. Season generously with poultry seasoning.
Cook for 1 1/2 hours on indirect heat then turn the chicken 180-degrees. Continue to cook for another 1 1/2 hours or until the chicken reaches an internal temperature of 165-degrees. Rest for 10 minutes prior to serving.
Serve immediately or store in an airtight container for up to one week.