Preheat your smoker to 325 degrees F using indirect heat.
Place the eggs directly on the grill grates, close the lid, and cook for 30 minutes.
Remove the cooked eggs and place immediately into an ice bath. Chill completely.
Reduce the heat on your smoker to 175 degrees F.
Peel the eggs and return them to the grill. Smoke for at least 30 minutes, or up to 1 hour if you want more smoke flavor.
Eat the eggs as is, season with BBQ seasoning, or make into smoked deviled eggs (link in recipe notes).