If you have 2 racks in there I would suggest an Amaze 'N Smoker. They have one which burns pellets or sawdust. Put it on the lower rack and the cheese on the top rack. All the smoke you need without any heat.
I use mine in my kettles all the time.
Traeger lil Tex, 2 Weber 22.5", UDS
Mop, Sauce & Two Smoking Barrels BBQ Team
They call me "Dave"
Veteran Noobian Warlord