I remain skeptical of this whole wire thing but am willing to give some exotic wire a try.
as you should, high priced wire WILL NOT correct a room acoustical issue ......pure BS !!
OK, now that I got that out of the way lets continue on the correct path that the others got you started on...............mentioning room treatments is important but what is more important is understanding how to apply them correctly. The mere fact that some simple foam and a few beach towels showed signs of improvement means you're headed in the right direction.
Treatments are usually grouped in categories of absorption and diffusion. Corner loading of bass freq for example require absorption and to do so one need sufficient thickness of material to absorb the longer wavelegths of the lower octaves, the reverse of this as you climb up the freq ladder.
So, understand that your beach towels provided little or no absorption but did possibly provide an ounce or two of diffusion. With that being said if you can 't bring your speakers further into the room (ideally 4-6 feet) then a combination of absortion and diffusion behind them would probably be good.
remember junior high science class.......angle of incidence equals angle of reflection........well that's how you treat your side wall first reflection points (2-3" of accoustical foam or similar should be fine)
This is but a snipit of info for you, hopefully JonFo and a few of the other 'pros' will chime in as well !