Preheat your smoker to 225 degrees f.
Place the ham, cut side down, directly on the grill grates.
Close the lid and smoke the ham for 1.5 hours.
Place the ham in a large 12 inch cast iron skillet. Pour 1 cup of chicken stock over the ham and then cover the ham and the top of the pan tightly with aluminum foil. Close the lid, increase the temperature on your smoker to 300 degrees F and continue cooking for an additional 2 hours, or until the internal temperature reads 140 degrees F.
When the ham is almost done cooking, prepare the glaze. In a small saucepan, combine all of the glaze ingredients. Cook over medium heat, stirring frequently with a whisk, just until the glaze comes to a boil. Remove from the heat immediately.
Remove the ham from the smoker and open up the foil. Drain off any excess cooking liquid and set aside for serving. Turn the ham over onto it's side and brush liberally with the brown sugar honey glaze.
Place the glazed ham into your oven on High broil. Cook for 2-3 minutes, or until the glaze is bubbling and caramelized.
Serve immediately with the drippings from the cast iron skillet on the side, if desired.