Mix the sugar, salt, and curing salt in the water until it dissolves. Submerge the venison roast (ham) in the brine for 4 days in the fridge.
Take the deer ham out of the brine, pat it dry with paper towels, set it on a wire rack with rimmed baking sheet, and put it back in the fridge uncovered overnight to dry.
Smoke over your favorite wood chips for 1 hour, getting the smoker's temperature up to 220 degrees F. After the deer ham has smoked for 1 hour, heat the maple syrup in the microwave and brush the ham with it every hour until the ham reaches an internal temperature of 130 degrees F.
Let the deer ham cool for at least 20 minutes before slicing on a large cutting board. Serve warm or cold.