Hi,
I don't know if I can help with your query but we have just gone down the LTBV route so can tell you a bit about what happened in our situation if you like.
We were told that we could either keep the Company open in the UK, provided we could show that we had management in place, so that our time on the NZ business would not be encroached upon; alternatively we could close the UK side (which must be stipulated in the application) and export to the UK from NZ.
If you have investment you may be able to get a visa based on that alone... not sure how that works though sorry.
Our visa came through relatively quickly (3 months from Lodgement date) but by all accounts LTBV is supposed to be the toughest and most expensive route in. Apparently it is not advisable to DIY this application unless you are confident that your business plan and financials can impress the case officer.
We used an agent at Pathways to New Zealand
http://www.immigration-nz.com/ He was very helpful, even before we handed over any cash!
Cal