Flatscreen between speakers

Has anyone found a solution to cancel or at least improve the acoustic glare caused by a flatscreen tv on the wall behind the speakers? I don’t have a dedicated room and have to share the room with my home theater setup. I have thought of using an appropriate curtain and treat the tv as if it was a window. I am also considering light 3D printed panels that I can temporarily hung when listening to music and take down when watching TV with the wife. 
I tried hanging a couple of thick towels on it to see if there would be any improvement and the answer is yes. The center image is more solid and a little deeper. Nothing drastic but if I could squeeze anything positive, why not. Please let me know if you have confronted this issue in the past and whether you were able to solve it. Thanks.