Try a white wine in the can! The wood only works in the can if the oils from the wood will go into suspension in the liquid. Then it works fine but you'll get more flavor from putting the wood on the fire.
About two hours before you intend to cook soak any fruit wood in water. It doesn't take much more than a couple of decent handfuls of wood.
Dry rub, mop, baste or marinate the brisket.
If you have a back yard bbq that closes you have an acceptable smoker! I'm assuming your grill is gas. If...