OP you can't have her barking at you even when it's just because your back is turned. and you are not focussed on her.
I would try totally ignoring until the barking stops. But make a fuss of her when she is not barking. If this doesn't work, rather than put her in another room - which is still giving her attention of a sort - why not try leaving the room/house yourself without even making eye contact. It's a pain I know but hopefully she will eventually learn that barking means less attention not more.
The other thing you could try is set routines for playing. For example my girl brings me her ball to play with after her main meal and at other distinct times. And she knows that the time between the last walk and bedtime is when I get on the floor for a tussle! Not sure how we got into this but it works