Rip out the rug, get a steamer and seal the room off and steam it up in there, the moisture will capture the dust and then wipe down the moist walls and floors with towels/sponges and that should get a lot of it, then run the dehumidifier and continue to use an ionizer thing to capture particles.
You can never eliminate dust though...
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Just a word of warning. While ionizers are terrific at trapping dust particles that are suspended in the air, the ozone produced by them make some of the most powerful oxidants known. This is not good for your lungs, or other materials that will fare ill from oxidation, such as metals.
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