Contractor Among Contractors
Do you anticipate earning significant money in NZ from fairly soon after you arrive there (whether that be from some kind of business vehicle you set up, permanent role, or even pension)? If so, then your drip feeding dividends idea probably isn't great. Those dividends would likely be taxable in NZ at whatever your marginal rate would be. I have zero clue what NZ tax rules are like, but if you'll be on a salary of the equivalent of £50k and their tax rules are similar to ours, then those dividends would be taxed at higher rates.
Some might say I'm biased, but I think it makes sense to get a clean break and do an MVL. Yes you'll suffer the fairly modest CGT in the UK. However you can then take those post tax funds to NZ without worrying admin/further tax consequences relating to your old company, or any impact on NZ tax rules.
...having said that, would be a good idea to have a quick chat with an NZ based tax adviser, in case they have some quirky rules that make the above daft.