Soundbar via bluetooth

[F31Simon]

I have the opportunity to repurpose the current dining room into a playroom, and obviously my first thought is how do I use a projector I have lying around. Getting the picture onto the wall is easy, the projector, PS4, and Now TV Box will all be together at one end of the room.

Given the room has recently been decorated I have no chance to put in cable anywhere, so my thoughts turned to soundbars. I can get power to a soundbar that I can mount underneath the projector screen, but no audio feed.

If I use a bluetooth audio sender that explicitly states apt low latency, is this going to work, and be vaguely acceptable quality.

Thoughts much appreciated.