You do have a few things going for you that many do not, your room is large and your speakers are well away from the corners. As Rob mentioned...you are listening at a fairly close distance also. On top of that...your ceiling is a non-mirror of your floor.
Also, the Polks are somewhat laid-back in sound which has to be a plus with your many hard surfaces. The polk SDA technology does work very well in some system setups and my guess is that yours is one of them...the Bob Carver technology that I have built into my Sunfire Theatergrand (Holographic Image circut) can also work very well in some system setups...at least mine does with one pair of my speakers although it does not work well with my di-pole Apogees.
Large rooms with lots of setup flexibility along with seating flexibility require very little room treatments campared to smaller spaces that most have...see how lucky you are!
Dave
Also, the Polks are somewhat laid-back in sound which has to be a plus with your many hard surfaces. The polk SDA technology does work very well in some system setups and my guess is that yours is one of them...the Bob Carver technology that I have built into my Sunfire Theatergrand (Holographic Image circut) can also work very well in some system setups...at least mine does with one pair of my speakers although it does not work well with my di-pole Apogees.
Large rooms with lots of setup flexibility along with seating flexibility require very little room treatments campared to smaller spaces that most have...see how lucky you are!
Dave