Good sound advice from both Alan and Peter.
I am not far from Peter, rural Hamilton, but grew up and spent the early chunk of my flying career in the top half of the south island, Nelson, Motueka, and the Northwest Nelson area. Stunning, and less "populated".
While the big tracks further south command a fair chunk of the attention, you could easily base yourself in and around the Northwest nelson area and be very happy, from tops to golden beaches.
And as Peter suggested, a bit of forward notice could lead to at least a cuppa and catch up with locals, Thames with Peter, Hamilton with me, and who knows.
Gary