Disklavier

I have an E3 with Disklavier DKC850 (thanks to Steve Winder again!) and am
really enjoying it. I signed up with Disklavier Radio/TV and that works just
fine for the most part but I am having trouble with one aspect of it. 

 

For the OnDemand part of it, I am using an Ipad Air. I can connect to the
850 via Bluetooth and it plays just fine.  I can also see the live video on
the Ipad screen. But how do I get that live video on my big TV? Apparently
using AirPlay via AppleTV won't work, as it cannot do both Bluetooth and
AirPlay at the same time. I got a cable that comes out of the power port of
the Ipad and goes to HDMI on the TV, but again, I can only do one or the
other -- either the Bluetooth hearing the piano or the live video on the TV
but not both at the same time?

 

Would VGA to the big TV make a difference, instead of HDMI?  Any
suggestions?