Honestly, you should be able to stop forward motion. It should be whatever you can do on a breakaway, except if the puck is over the icing touch up line, then the play is dead. This goal was awesome. Hedberg just played him terribly. I bet if they allowed you to stop there would be a lot more goals/nice saves. Just put a time limit on how long you have to shoot.
I agree with Kyle; if the shootout is gonna be a gimmick anyway, let 'em show off what they can do. Also, even as a Flyers fan, I think Briere's goal should've been disallowed by the current rules. That said, it was sick haha.