That’s a pity.
What about the NZ Dept of Transport, or whatever legal entity keeps track of your driving record over there… speeding tickets, convictions for dangerous driving, points on your record, that sort of thing? It’s probably linked to your drivers license, or their version of a PPS number.
Would you be able to get a copy of that, as long as it’s clean? I went online and got a Georgia Dept of Motor Vechicles printout showing my clean driving record over the past 10 years. I sent that into Allianz, along with my insurance claims history (or lack thereof) from the two insurance companies I had been with. They took both as proof of my being a safe driver. If you can’t get anything from the insurance company, perhaps proof of your clean driving record might sweeten the deal?