We're currently volunteering with NT Parks as Campground Hosts in Litchfield NP and I didn't even know this Route existed before our visit. I've been watching the weather and every day was forecast to be 30 - 32C max, not ideal running temperature.
I did a few test runs before deciding I would best attempt this by starting early, so I got up at 2.30am, had coffee, walked up to the start of the track and started running just before 4am. This worked well as the reflective trail markers actually made it easier to stay on track in the dark than daylight.
There is a lot of water around this season, due to the extremely high wet last summer. There were a few hikers on the trail but you are largely on your own the whole loop.
Thoroughly enjoyed the run, can recommend 👌