Broadcaster Embed live video
Knowing you are working on a solution, in the interim, is there a page call that will open the web link in full screen mode? Once on the page you can choose full screen mode, so there must be a flag set on load that would help.
Something similar to:
New.livestream.com/accounts/99999/eventname & fullscreen=true
Really impressed with broadcaster, just need software to catch up to hardware.