Nite Travel NZ

Nite Travel NZ

In order to save time if i where to travel at Night from Chch to Greysmouth would i be wasting my time? Reason being so next day i could travel to Queenstown via Fox glazier and spend the nite at Queenstown. The following day i would do the day trip to Milford sound. On my last day at NZ i plan to return to Chch via mount cook. Does this itineary sound good? Am i covering allthe best spots this way as i have only 3 days driving in NZ. Thanks

Question about Southern Alps via the Milford Track