I think i'd be looking into the work visa option if I were in your shoes, if you could secure a job in NZ, you could get your work experience whilst 'out there', it's not easy to get a job whilst in the UK but not impossible, otherwise you might consider going on a holiday visa, securing a job and converting to a work visa. Where there's a will there's a way :icon_wink:
Good luck and welcome to the site :icon_biggrin: