Chakster, martinman has a much better room for bass than you have. Equal dimensions are the worse thing you could ever have. No amount of room treatment is going to deal with the long wavelengths. 100 Hz is 10 feet. Room treatment deals with frequencies above 200 Hz at best and it is very important but, for bass it is the room size, dimensions and construction that matter most. The single best way to deal with room nodes is multiple subwoofers. Martinman's integrated has a full 2 channel 2 way subwoofer cross over built in and an excellent phono stage. The Hint 6 may be the absolute best value in audio amplification out there.
Another thing. If that Technics boat anchor is a light mass tonearm I am a monkey's uncle (no comments please). Mid and low compliance cartridges only need apply.
Martinman, you have fine dimensions there. The system should be symmetrically set up on a 15 foot wall. Your room is way too large for one sub. Ideally you would want at least two 15" subs or four 12" units in a room that size. The best way to start out with 2 subs is to put them right up against the front wall between the main speakers. Cut some cord the distance between the inside edges of your main speakers. Have your significant other hold one end at the middle of one subwoofer cone while you swing the other end towards the listening position. Your end should end right at your nose in your listening chair. Make it so. Now have your significant other hold his end at the listening position while you swing the cord towards the main speakers. Move them forward so the center of the woofer cones end at the cord. Point them directly at you. The speakers and subwoofers now form a 60 degree arc of a circle and each bass driver is equidistant from your head. You can add more subs down the line and put them anywhere off to the sides. This assumes all bass drivers are at the same phase angle which may or may not be true. It is a simple $300 matter to figure it out, with one of these
https://www.parts-express.com/Dayton-Audio-OmniMic-V2-Acoustic-Measurement-System-390-792 I have used one and it a fabulous tool. It will turn your laptop into an acoustic measurement tool. Most people set up their systems trial and error by ear without any reference. It will take you years if ever to get it right that way. It is also a lot of fun taking it over to your friend's to show him how screwed up his system is:-)
If you move back and forth in your room you will hear the bass change. You can move your listening position back or forward a little to adjust it. You will also notice the bass increase at the boundaries of the room up against the walls. This is normal and why you can not put your listening position up against a wall.