Vinh apparently manages to squeeze his driver into the Lumintop Tool, and also mods it with an XP-L HI for more throw. It only runs on a 10440 battery.
It's a custom mod made in small quantities, it's expensive, it will get hot, and the battery life will be very short on max, but I don't know what could beat it for raw output in this size. He claims he tested it in his own integrating sphere at
700 lumen at turn on and 500 lumen at 30s. That's jaw-dropping.
http://skylumen.com/collections/v54-lights/products/small-clicky-need-spec
It seems possible some other AAA-sized light with less total output could beat it for throw with a slightly larger, deeper reflector, but I'm not aware of a AAA light designed with concentrating the hot spot into as small of a size as possible as the main design goal.