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I managed to arrange my insurance with just VIN, then gave them reg when I got it.
Had to do it all via phone, but was easy enough with Churchill I found.
Not sure what your driving history is like, but I managed to get Churchill £704 and that is with the other half writing a car off last summer. They have accepted insurance to start with just VIN until car collected.
I was the same too seeing all the people here with delivery dates, but mine came today by text so stopped driving, pulled over and did it right there and then!