where to start -
violates bylaws in many districts so you could be fined, clamped, towed.
You can stay at a backpackers hostel for about $20 or $30 a night. A cabin in a campground could cost a little more. A tent site at a campground is less - about $6 at a DOC campground.
If you can't afford to pay for a nights accommodation then save up until you can before travelling.
In any event this is really a 3 N minimum trip. For sensible driving and allowing for sightseeing:
1. AKL to Hot Water Beach or Hahei - only about 3 hr driving, but won't you want to swim when you get there?
2. Hahei to Rotorua & then Taupo - again only around 4:30hr driving, but surely you want to walk around at least Kuirau Park & watch Pohutu Geyser play from the lookout, even if you don't want to do a paid thermal park.
3. Taupo back to Akld will take around 4 hr, but before you leave Taupo you'll probably want to view Huka Falls.
Averaging 4 hr driving per day gives you half a day for sightseeing rather than 6hr per day which leaves very little time to actually do anything.
Cool, thank you for your response.
I will reconsider it. 😁
I am concerned about you wanting to eat/sleep safely/ shower and go to the toilet, and refuel. It really is a 3 days minimum adventure and unwise to undertake this journey in less time. Zhuhai has laid out the best that you can expect.
Thanks for taking on board others concerns for your visit. Enjoy the scenery en route as well. Lots of attractions to explore and undertake at a leisurely pace. You have a nice itinerary planned over 3 - 4 days.