I believe OP is asking: "
How do I have any TV picture on with muted (TV) sound while playing music from TV through the Bose sound system?"
If so, it seems very simple. Just think about splitting the signals: video to TV, audio to Bose and not trying to get the Bose to do both within itself (which it is probably not able to do).
- TV HDMI "out" and into "VCR" HDMI in on that Bose.
- Bose HDMI out to one of the HDMI "in" jacks in on the TV. (for the sake of simple instructions, let's use HDMI2 on the TV)
- Video source box (cable/satt) HDMI out to another of the HDMI jacks on the TV. (for the sake of simple instructions, let's use HDMI1 on the TV)
To show the news on the TV screen while playing music from
TV via the Bose system:
- Choose the HDMI2 input on the TV (and "VCR" on the Bose) to display the TV music menus and get the desired music playing. Then,
- Choose the HDMI1 input on the TV to display whatever video you want from the video source box. Use the cable/satt remote to put whatever channel you want on the TV screen.
Music from
TV should be playing through the Bose system and the TV should be displaying any channel you want it to display (such as the desired news channel). If you have TV picture sound also coming out of the TV's speakers, use the TV's remote and push the "mute" button or turn volume down to zero. That should leave the Bose speakers playing
TV music and a silent TV playing whatever (video) channel you've chosen.
There probably is no option to get the Bose or the TV to play audio from one source and video from another. The whole concept of having multiple jacks on such devices is to simplify the playback of Video + Audio from individual source boxes. What OP seems to be wanting is to play video from one source box and audio from another.
The above should do the trick as I think I understand it. If the goal is solely picture from a non
TV video source box like cable or satt and audio from
TV, no need to read any further.
The rest of this post tries to deal with the flexibility to also play the video source box audio through the Bose when OP would want to do that instead of
TV music...
If OP also wants audio from the video source box playing through the Bose system when
TV is not in use, the above is basically bypassing that option by sending the video signal straight to a TV HDMI in jack (HDMI1). The Bose box appears to have a second HDMI that could be used as an input from the video source box but odds are high that the cable or satt video source box has only one HDMI out jack, so the above uses it to run an HDMI cable straight to the TV (HDMI1) instead of into the remaining HDMI in jack on the Bose box. OP could switch that cable back & forth when he wants to use the Bose box for TV audio playback when not using the
TV but switching that HDMI cable back & forth might get aggravating.
A way around this problem would be to get a 1 "in" and 2 "out" HDMI splitter. Video source box HDMI out into the splitter's HDMI in. Then, one HDMI cable out of the splitter's HDMI out to the TV (HDMI1) and the other HDMI cable out of the splitter into the spare Bose HDMI in jack. As long as it is a splitter that sends the video & audio over both HDMI outputs simultaneously, this should work without much issue. The main benefit here is being able to use the Bose system for TV audio when not using
TV. If this is not actually important to OP, this option would not be necessary.
Another option if it is available would be to use any audio out options offered on the TV to route audio back to the Bose system. For example, if the TV has analog audio out (it probably does), OP could run analog audio cables back to the Bose box and whatever video is playing on the TV should have the sound able to play via Bose when OP switches the mode so that the Bose is using that source (the analog audio in) for sound.
If the TV has HDMI out (probably not), an HDMI cable back from this jack on the TV to the other HDMI "in" jack on the Bose would probably accomplish the same thing. But I bet the TV doesn't have HDMI out.