What are other teams doing? Did you make your light or buy it? We will probably end up making a ring light surrounding the camera using this current supply and led's.
350 milliamps is probably a lot more than you should be using. There's no need for a "blindingly bright" light. A simple four-LED flashlight module running at only 10 mA gives us enough response from the retroreflective target to almost saturate the camera.