Brinkmann Electric Smoker - Smoked Chicken HOW-TO. This is how to smoke chicken on a Brinkmann Electric Smoker. It's easy to smoke a couple of whole chickens on the Brinkmann smoker but I did a whole chicken on the bottom rack and chicken drumsticks on the top rack. They turned out tender and fantastic! Please share this video and enjoy my other BBQ smoking videos too! Filmed with Panasonic HC-V100M camera in 1080P HD.