I have an RCA television with an audio out headphone jack (3.5mm) and a separate 5.1 surround sound system set up in my room. What I would like to do is have my tv send the audio over bluetooth to a receiver which plugs into my surround. I don't expect the full 5.1 from the television, but simply L/R channels. Does anyone know of such a method or pair of bluetooth devices to do this? Preferably ones that are budget friendly and would stay connected to each other regardless of whether they are in use constantly or not. I have seen a few bluetooth receivers but they all turn off after a short time without signal, which would make me have to power it back on every time I wish to use the tv.