Through process of elimination, I was able to figure out what part of the scene was causing the noise. Apparently Vue didn't like the material I had on the boolean tube that constitutes the walls of the room. The material was a two-level mixed material that used glass on the second level. I changed the material to a simple mix of metal and glass, and the noise went away. I also tried different materials which also used glass on a second level of materials and they caused the noise too. I've used these materials on other objects with no ill effects, apparently Vue just has problems putting them on a boolean tube.

So...I figured out what caused the problem, just not why. I've found made a material that works all right, but is not as good as what I had before. If anyone knows a workaround for this I would still be grateful.