Process all ingredients except oil and chicken in blender or food processor until smooth. With blender running, slowly add oil to make a smooth paste. Combine chicken and marinade in a large shallow nonaluminum baking dish or plastic bag; turn to coat. Cover, or close bag and marinate in refrigerator about 4 hours.
Remove chicken from marinade, discarding marinade. Grill or broil chicken about 20 minutes or until chicken is thoroughly cooked, turning once. Serve with hot sauce.