God the solution is so clean... I am gonna try ordering one and make the same thing, waiting for a built-in solution.
Do you have a link to that transmitter please?i made it work w/ this transmitter,it just syncs awesome no lag whatsoever and you can use any 4.0 bluetooth headphones or earphones also not to noticing , i might have to some paint job on the transmitter.
ohh and the built in battery for the transmitter will last more than 6 hours
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here is the switch docked with bluetooth transmitter and no lag