Rinse the chicken in cold water. Transfer to a resealable bag or container.
Whisk together 1 can of beer and the liquid smoke. Add to the container of chicken. Seal and refrigerate for 45 minutes, turning every 15 minutes to marinade the chicken.
Fire up your Big Easy.
Remove the chicken from the marinade and pat dry.
Rub the chicken down with a bit of oil, getting in every nook and cranny.
Combine the Old Bay and Cajun seasonings.
Rub half of the seasonings all over the outside and inside of the chicken.
Open the remaining beer and take a few good swigs. Then add the remaining rub to the beer can. Put your finger over the opening and shake a bit to combine.
Place the beer can in the holder, if using. Latch it in.
Carefully slide the chicken over the beer can.
Transfer the chicken to a Char-Broil Big Easy basket and lower into the cooker.
Cook until the chicken is done, reading 175 F in multiple places using an instant-read thermometer.
Let rest 15 minutes before carving.