New Zealand are also meant to be hosting West Indies and England in full series as well as Australia again for a limited overs series according to the FTP so I doubt there would be much room for maneuvering whilst keeping it in their summer.
Edit : Infact just remembers the NZ - Aus series has been replaced with a t20 tri series with England that's already confirmed for 3rd - 21 February, presumably followed by a test and ODI series with England shortly after.
May be during IPL. Eventually it'll end that way - multiple leagues running at same time & players playing in one league - just like Club football runs. We can't have 8 weeks window for every country.