Oh, I see. Let's see:
doubling the amount of solid will reduce the volume available for gas (pressure increases). The system responds by reducing the pressure by favoring solid formation. Thus, the concentration/volume ratio is maintained. Can someone confirm this for me?
I think you're basically there. I would say that when considering this problem, you can ignore the volume of the solid. Reason being, the density of the solid >> gas, so changes in solid volume are negligibly small in comparison to the gas volume.
From there the argument can follow what you have said. The concentration of a gas (ideal) is directly proportional to its pressure. As more gas is formed, pressure increases. As this happens, you can imagine high pressure pushing the gaseous molecules back together again, forming solid (Le Chatelier). Increasing pressure favours solid formation, and eventually you get to a point where the rate of solid formation is the same as rate of gas formation: equilibrium.
The solid does not appear in the rate equation because we approximate its volume to constant.