In a small bowl, mix together the dressing through oil. Wash and dry the drumsticks and add to a large bag. Pour prepared dressing mixture over chicken and gently coat .

Remove chicken and arrange on large cookie sheet. Allow to stand while preparing smoker and bringing to temperature.

Fill smoker water pan as directed by manufacturer, add pre-soaked wood chips. Bring smoker to a temperature of 250 degrees. Lightly grease or spray racks. Arrange chicken drumsticks on racks leaving enough space for chicken to cook.

Cook chicken at 250 degrees for 2 to 2 1/2 hours or until internal temperature is 185 degrees, turning every 30 minutes and basting with barbecue sauce.