It's been a few years since I've tackled that road in the winter, and I'm not really sure about snow, but I'm pretty sure there are a few sections near the steep bends where water runs onto the road and creates some interesting icy stretches in cold weather.
I think Guy's covered everything I was going to say - based on me having both KTS steel and a pair of Grivel G12s with the G10 flexi-bars retro-fitted.
I'd definitely go for KTS steel over alu, as not only will alu blunt quicker but the points are a little shorter than on the steel version (0.75" vs 1") and the front points are less aggressive. Basically the alus will reach their limit a lot sooner and I suspect may not offer a sufficient performance benefit over microspikes to justify the cost.
Some of the same applies between KTS steel and G10/12s - the grivels have longer points and better front points, so work better on water ice and steeper ground, but the KTS are lower and easier to walk in, and much more compact and lighter for carrying.
In the end it's a judgement about the terrain you want/need to handle, but I tend to carry the KTS far more than the Grivels. (I do reckon the KTS were on their limit (I thought once or twice they might be beyond it!) climbing out of Coire an t'Sneachda.)
I'm more familiar with the Norwegian version, the DNT, but the Swedish Touring organisation, Svenska Turistforeningen, operates a large network of mountain huts and lodges, and the website offers at least some ideas of treks and trails available. There's a section in English that might be helpful...