It is controlled and you have to be very aware of the joining procedures.
Here is a link to the plates for Queenstown. (Both VFR and IFR).
AIP New Zealand
These are not Jeppersen either but are pretty easy to read.
I would have your mountain flying up to scratch.
Also a good read ->
https://www.google.co.nz/url?sa=t&rc...0JCKpr7hf2CBVA
But this is the reason why QN is so great ->
Have a good one