Interesting thought but it would be more than a bit difficult. And the room has diffusion or reflection in the front third (except the front ceiling which I just replaced diffusive with absorptive and made a huge positive difference). The front wall is diffusion; the front side walls are diffusion and some absorption and it has hardwood floors. The only real absorption is 3 panels on the back third of the side wall and the front of all of the bass traps. The rear wall is all diffusion.
Measuring has NEVER indicated I had a glare problem but anyone who listened could hear it.
I am making considerable progress following the current path and should this run into a dead end, I will give your idea a try, although there is very little that I can change short of removing the rear side wall absorptive panels.
I do appreciate the idea.