I remember this one very well.
Radarvectors couldn't be given, there's no radar, ADB-B is being implemented by Gander at the moment, available in the southern part of Greenland, and the aircraft was routing straight towards BGBW anyway.
A couple of days later we had a similar "situation", unaccounted for headwind, this time with an aircraft with pontons. Were able to get him into Grønnedal and land on the fiord safely, refuel at Grønnedal and continue onward.
Greenland is not a place where you want to go, without doing your flightplanning properly. You should see the number of pins on the chart RCC used to have.