I am trying to connect a new projector to a soundbar. Currently I have my PS4 sending video to the projector and am thinking about using a Bluetooth transmitter for the audio out of the projector to send to a soundbar. I want to have a subwoofer with the soundbar, but wonder if the wireless subwoofer will still get the signal from the Bluetooth transmitter in addition to the soundbar. I am also wondering if there is a better option that does not require me to run cables across the room?