Australia Day 2 - Kakadu National Park

We picked up our rental car in the morning - we pre-booked a decked out 4WD camper from Britz. It has a kitchenette (fridge, water, dishes, gas stove), two 90L gas tanks, a double bed in the raised roof and a single bed on the bottom. Since the one-way fee was quite expensive, we got a Bonus Pack that included the one-way fee, full insurance with no deductible, picnic table and chairs and some extra safety equipment including an emergency beacon. Let the road trip begin!
Our first stop was a grocery store on the way out of Darwin - pitas & wraps for lunches and pasta or stir fry for dinners. We got to the Bowali Visitor Centre near Jabiru, Kakadu at 5pm and ran in before it closed. The ranger advised us against going to Ubirr tonight since it closes at sunset and there was some flooding on the road - 40cm at the deepest and possibility of crocs. We decided to just find a campsite for the night and try again int he morning. We stayed at Kakadu Lodge in Jabiru (the largest town in Kakadu Park). When we got out of the car to set up we were attacked by swarms of flies that kept going for our eyes and mouth. It was really unpleasant. The flies finally cleared when it was dark and we made dinner and set up for the night.
We made up the top bunk but even with the windows open it was sweltering up there and there was no breeze outside so it was really stuff. We decided to try the bottom bunk, which would be a bit small because it's a single, but the air should be a bit cooler and less stuffy & claustrophobic. We were still sweating buckets - the daily high was 35 and the low was high 20s so I expect it was at least 30 in the car, with no circulation. We tried different strategies to cool down the car - we ran the car for a while with the AC but as soon as we turned it off it felt the same as before, we opened all the doors and braved the insects but with no breeze it didn't much help. Finally I took a cold water bottle out of the fridge and put it under my neck below my pillow and was eventually able to fall asleep.