Perhaps yours is a combo 2-channel/HT system and you don't want the screen to affect the image when you're listening to stereo. In that case see if you can place the speakers a bit ahead of the screen. Then put a padded room divider, or a Japanese paper screen, or an acoustic absorber or diffuser, or, hey, a bushy plant why not, in front of the TV screen when you're listening to music. (Or do what I do, place a padded quilt over the TV.)
I have had to share the listening room with the TV since last year. The TV is small enough to be placed on a movable stand. I slide it well back and cover it with a quilt when I'm listening to music. If I don't, the image is flattened like a pressed flower.