The problem appears to be the cherry wood dust. I dried it in the oven as you suggested, and could not get it to remain lit. After several more tries and failures I switched and dried some hickory dust in the oven and then started it up. It's still going and will for a few more hours at least. It is currently going in the box setup I made.
Here are some pics from the failed attempts, when it was still light out. As you can see, I sat it on a baking sheet with a couple of foil-wrapped bricks (I use them for weighting stuff down when I need to, like when I make corned beef) to hold up the cheese.
I put the box resting on one end of the baking sheet, to let a little more air in, but it looks pretty much like this. The top brick is to cover slit in the box and to the wind from blowing it around. It should keep critters from getting in there too, but they might not be interested in the smoky smell anyway.