I think you're creating your own problem
If your having that much of a problem with dust you don't need to be bagging. What you may want to consider doing is closing the chute on the mower and mulching what grass you have and put it back into the lawn so it has something to feed itself with. Remember a blade of grass is like 75 to 80% water and mulching grass provides about 25% of your fertilization needs back to the soil, it not only helps the grass water wise but it also helps feed the root system of the grass and should help thicken the lawn so you don't have a dust problem. By bagging the grass your just robbing the lawn from all of its nutritional needs and creating a dust bowl.