Preheat your grill to medium heat (300-325°f), setup for indirect heat.
For this Southern ham, it's cooked with a little pecan wood and glazed using some of the best Southern sweet things – sweet tea, local honey, sweet BBQ rub, and maybe even a smoky sweet shot of bourbon.
Make the glaze. Combine the honey, sugar, tea, BBQ rub, mustard and bourbon (if using) in a small sauce pot and bring to a simmer over low heat on a grill with a side burner (or over medium high on stove top). Simmer until reduced – about 10 minutes.
Thicken the glaze. Make a slurry by whisking together the corn starch and water. Whisk this slurry into the glaze and cook the glaze for another minute. Remove and allow to slightly cool
Place the ham, cut (flat) side down in a half sized steam pan or casserole dish. Drizzle about half of the honey/sweet tea glaze over the ham and brush it on, evenly. Cover tightly with a sheet of aluminum foil.
Cook the ham. Place the ham on the grill over indirect heat, close the grill and let cook for 2 1/2 hours.
Glaze and smoke the ham. Pour and brush the rest of honey and sweet tea glaze on the ham. Place two chunks of pecan wood on/near the hot coals and smoke the ham for 10-15 minutes.
Drizzle with any remaining glaze and serve.