Could you not just say 'Applied for' on the ITA form with regard to the Work Permit? The form just asks for information about the permit e.g. when it was dated from etc. and doesn't ask you to actually send it in (as far as I can see). It might be one way to speed things up and you can update NZIS once the permit comes through. NZIS should be aware that getting all the relevant paperwork together in one neat heap isn't always possible.