Not sure what ya got there. Sounds like two of the fans maybe being used for exhaust, both adding up to 700cfm for a 640 cubic foot room clearing in under five minutes.... not bad. Props. Wish I could have made them work, they're not very noisy at all compared to my squirrelcage I wound up with. As you pointed out though they are not very well equipped for pulling through a carbon filter or poorly maintained intake filter/screen. My paranoid nature would not let me exhaust without pulling through a carbon filter first, I am naive I guess, figured that was standard.
Out of curiousity is your four inch inlet passive, or is there a fan there as well? If it's passive your room may clear even faster if you popped another four inch inlet into the room. Just a thought.