Hycom certainly gives an interesting picture of drift.
This drift is forecast to continue towards Svalbard at least until the weekend, which will bring it into those warm waters, which will destroy the ice heading there soon after its arrivals.
I don't believe that these warm waters are a general artifact of rising sea tempteratures, but rather that it has a specific mechanism that will become more and more important in the coming years. I don't know if anyone has noticed, but since around the middle of October 2014, there has been a hotspot of anomolous warm water (up to 11
oC above the norm) in the Barents Sea which hasn't moved in over 20 months. The SSTA surrounding it fluctuates as usual, but this particular hotspot never moves, as you can see in the first image below (click to animate) which is taken from earth.nullschool.net SSTA and covers Jan 2015 to Feb 2016 (though it's still there, never budging and as strong as ever).
I scratched my head for a while, but it dawned on me that this may be a result of Greenland glacier melt. As many members (and lurkers) will know, the North Atlantic Current ("NAC") is fed by the Gulf Stream. The path of the NAC is shown in the second image along with the hotspot, and it passes over a raised plateua within the Barents Sea (25-50m below sea level), which you can see from the sea elevation map in the third image. It appears that the NAC is pushed towards the surface in this area, and continually feeds the hotspot above it. Interestingly, this hotspot feature appears and grows in strength roughly 5 months after the infamous cool patch appears in the North Atlantic (see the 4th image from NOAA's SSTA), which I'm estimating is the time it takes for the NAC to cover the 2000km or so from the cool patch to the Barents (NB, the Gulf Stream moves at a speed of 1 to 6mph, whilst the NAC moves at a more sedate speed of 0.2mph, so my figures are guestimates).
My recollection of the latest resarch is that this cool patch has become something of a permanent feature and is caused by the cold fresh water melt from Greenland spreading across and sitting on top of the North Atlantic due to its lower salinity and hence lower density. This prevents the Gulf Stream from losing (exchanging) its heat into the atmosphere, which is not only slowing down and weakening the Gulf Stream itself, but also appears to store that heat within the NAC and depositing it further into the Arctic, hence the hotspot in the Barents Sea.
As you can see from the second image, part of the NAC splits off before reaching the Barents Sea and passes along the west coast of Svalbard before taking a right-hand turn and moving along Svalbard's north coast along to the north coast of Franz-Joseph Land ("FJL"), which is where we have again seen anamolously warm waters. Admittedly, SSTA maps aren't always particularly accurate or even cover this area properly, but we can infer the warmth of this water from the speed at which ice melts when it reaches these areas.
In the long term, if the cool patch in the North Atlantic does persist or expand, my guess (and it really is just that) is that more heat will be dumped into these Arctic regions, even if the Gulf Stream continues to slow. My guess is that going forward, there will be less of a focus on export through the Fram Straight, and more focus on drift towards these warm areas North of Svalbard and FJL. And given the expected drift over the coming days and the potential fracturing of large parts of the CAB, I believe that this melting season will have some surprises/shocks in store for us.