In a pot heat all the ingredients for the injection until smooth. Once the injection has cooled some inject into the chicken. (Do not let the injection get cold).
Beer Can: Add the thyme, rosemary, bay leaves, red pepper flake and put in your chicken stand. Place the chicken over the can.
Coat the outside of the chicken in olive oil (lightly). Sprinkle paprika, chili powder and salt and pepper on the skin and rub it inches.
Place the chicken in the smoker at 225 degrees for 2 hours. The skin should turn a smoky pink color.
Remove from smoker and put on grill at low but direct heat for about and hour or it reaches 175 degrees. Pull off and wrap in aluminum foil and let it rest for at least 15 minutes before cutting into it.