I'd be more worried about excellent and repeatable viewing conditions than spending too much time and thought on how clean the room is. You are going to have to clean the room from time to time no matter what. Funky viewing conditions will cause more problems than a few dust specs. Think hard about the lighting and the position of the monitors.
For dust problems, think about keeping a little humidity in the room. The drier the air, the more stuff will move around and the more static charges will be a problem.