If you have slap echo, I doubt anything in the corners will help- this is caused by your speakers firing into a wall and the sound being reflected before it reaches your ears. That happens on flat surfaces.
BTW- you show your room's dimensions as 12' x 12' x 8' and then say "it's not quite a square". Even if the dimensions are only close and not exact, it's a square for all practical purposes. What it is not, is a cube.
If you can place panels on the wall between the speakers, it would be a good place to start, but seeing a diagram would help, a lot. If you centered your speakers on one wall, move them to one side, a little. Could be 6", or a foot, but it can make a difference.
If the speakers aren't far from the side walls, I would start
with a few panels on the back wall and on the side walls, where the first reflection occurs (this is easy to see, using a mirror and having someone move it so you can see the speaker's reflection in the mirror). Depending on where you sit, this may be all you need but if you sit at the back wall, you may need a panel where the right speaker reflects from the left wall and where the left reflects from the right wall. Doesn't need to be large, just needs to be there.