If the sport is that small there, then I suspect they’re probably not going to be able to put together a whole team to travel to NZ for an oldies tournament.
Travelling to them seems more viable than the other way around. It would be an awesome trip for them if they did come. They could do a full round trip …. Christchurch -> Tekapo -> Naseby -> Alexandra -> Queenstown -> Gore -> Dunedin. That would be a great way to see the country whilst enjoying some hockey enroute.