Can you diagram your set up? If your direcTV feed just hooks into the park cable (outside of the rig) and then from there into the switch box, from switch box to TV, there is a better way.
The best way is directly into the satellite receiver and from there use HDMI or composite cables directly to the TV you want. Then instead of turning on channel 3, it is just a different source. (AV1, HDMI 1, etc). Then you can use the audio out on the TV to feed it through the stereo. Unless if course you're talking about a bedroom TV…
In my experience, something designed to cover EVERYTHING (switch boxes and Obamacare for example) doesn't really do the best possible job for one specific situation. It's designed to be too generic.
PLEASE do not send questions via Private Message, my inbox fills up too quickly. Post questions in the forum as a new thread so that other users can benefit from the answers. Use Private Messages for sensitive information only (VIN, Contact info or things you do not want the public to see).