Completely thaw your turkey if it is frozen. This step can take up to three days in the refrigerator for large birds, so plan accordingly.
Brine the turkey. Boil the brining ingredients in a small amount of water, and once the salt is dissolved mix with a gallon or more of ice water. Soak the bird in the solution for at least 12 hours.
Rinse the turkey thoroughly and pat dry with paper towels. Set in your roasting or drip pan.
Preheat your pellet grill/smoker to 225 degrees.
Melt butter and the extra virgin olive oil together, then coat the skin of the turkey with the mixture.
Season the turkey inside and out with your seasoning mixture.
Place the turkey on the pellet grill and insert your thermometer probe in the thickest part of the meat. Set the alarm for 165 degrees Fahrenheit. Plan approximately 30 minutes for every pound of turkey. Avoid opennig the grill lid too often in order to maintain consistent temperatures.
When the internal temperature reaches 165 degrees, remove the turkey from the grill and allow to rest at least ten minutes before serving.