2020

[Mister Mets]

Some problems with prognostication in this scenario.
It's possible that people elected to statewide office in 2014 or 2016 will be presidential contenders in 2020.
If Hillary Clinton is popular, someone in her administration may choose to run for the Democratic party's presidential nomination. And we don't have any idea who should we choose.

We can make some guesses.
On the Democratic side, Andrew Cuomo would be a force to be reckoned with as a big-state Governor with impressive Washington experience and a record as a prosecutor.
Elizabeth Warren and Joe Biden would likely be too old. Deval Patrick will have been out of office for too long.
Cory Booker will be on the tail end of his first term in the Senate.
Kirsten Gilibrand and Amy Klobuchar would likely consider it.

On the Republican side, much depends on the 2020 primary.
If the party went with Christie, he's done.
If the party went with Cruz, Christie can make an argument that they need moderation.
If the party went with Jeb, there will be a preference for someone new, not associated with past failures. That's bad news for Ryan, Rubio and Christie. Good news for Cruz.