Combine the rub ingredients in a large bowl. Rub spices into wings, liberally coating all portions of the chicken. Place the chicken in an air-tight sealed container and marinate in the refrigerator for 1 hour or up to overnight.
Spicy jalapeño combined and a sweet honey sauce make these wings and drumsticks a “betcha can’t eat just one” flavor fest.
Place chicken on the grill. Close the lid and grill 20-25 minutes, turning chicken once after 10 minutes and basting intermittently with olive oil.
While cooking the chicken, combine all ingredients of the Honey Jalapeno BBQ Sauce and set aside.
When the chicken reaches an internal temperature of 150 degrees Fahrenheit (about 20 minutes), turn the grill to high. Liberally brushing on the sauce. Grill for an additional 10 minutes, brushing chicken every 2-3 minutes as sauce begins to caramelize.
Remove chicken from the grill and brush again with sauce. Place under tin foil tent for 3-5 minutes.
While letting chicken rest, combine all ingredients for the blue cheese dip in a bowl and set aside.
Serve the wings with carrots, celery, and creamy blue cheese dip.