The cricketers originally planned on holding the tribute at the fourth hole - the number at which Crowe famously batted throughout his career between 1982 and 1995 - but were wary of attracting a large crowd.
It's understood Fleming, in particular, in the wake of some criticism over their decision to uphold their pre-existing commitment to the New Zealand Open rather than attend the Auckland service, wanted the moment to be more private and poignant.
Meanwhile, former Black Caps teammates Simon Doull and Mark Richardson, and former England captain Ian Botham, also wore armbands and ribbons during their concurrent round in the tournament's pro-am event at the Millbrook Golf Club.
Earlier this week Fleming defended their decision to remain in Queenstown, saying they had a special opportunity to remember Crowe alongside three rival national captains.
"We've got a unique opportunity with the group of cricketers that are down here, that whilst we can't be in Auckland on the day, we really want to pay our respects to Martin and the family, and we're just going to share some stories," said Fleming.
Fleming insisted Queenstown is a fitting location from which to pay tribute to Crowe, with the pair having shared some memorable occasions in the tourist hot-spot.
"I know there's been some criticism about that," he said, "But from a personal point of view, it's probably one of the more fitting places to do it.
"Queenstown was a popular spot, I spent some great times here with Martin. So in some ways it's fitting to remember those times and some good cricket stories as well.
"Obviously (he was) one of our greatest cricketers and one of the great cricketers to play the game.
"We saw his passion in his last few years with the way he wrote and his fondness for the game was pretty much second to none.
"So we'll try and reflect our feelings on Friday."
