For safety's sake, I would forgo using the current set-up. If you own a gas or charcoal grill, you can still do BBQ and smoke.
For a gas grill, depending how the jets are, either left, middle, right, or left, right, or front, middle, back, you want to have you fire on one side only. Whatever you choose, that is the hot side, and the food is placed on the cold side for an indirect effect. For a charcoal grill, set the coals up on one side as well.
When you have a nice bed of coals, add some pecan, hickory, peach, or apple wood to it for the smoke flavor. Add as much or as little as you like, just charcoal alone will give a slight smokiness. Jjust do not add anymore wood after 3 hours of cook time, the meat will not take anymore, and the outside will develop a creasote taste.
Hope this helps getting you started.