Whisk together all ingredients except for chicken in a large bowl.  Add chicken and rub the marinade all over to coat, gently working it under the skin of each drumstick.  Let stand, covered, 1 hour at room temperature, or for up to 24 hours refrigerated.

Preheat oven to 375ºF.   Oil a wire cooling rack and place on top of baking sheet.  Arrange chicken on rack and bake for about 40 minutes, or until juices run clear.  Turn on broiler and broil until charred in spots, watching closely.