Azhar Ali was caught behind off an outswinger for five, and although the umpire initially said not out New Zealand sought a review which proved otherwise.
"We would be unlikely to break up that four-pronged bowling attack," Stead added as another reason why Santner would be competing with Daryl Mitchell for the all-rounder spot.
The top five West Indies batsmen totalled only 267 across their four Test innings, just 16 more than New Zealand maestro Williamson scored on his own in the first Test.
The return of wicketkeeper BJ Watling has allowed Tom Blundell to return to his opening slot alongside stand-in captain Latham while Will Young moves to number three.