Ive been lucky and unlucky enough to drive the Dunlop stockers on ice. Its like ice skating wearing vans. Control is almost none and grip is following closely behind. On fresh snow the stockers did pretty well but you could really feel where the road had frozen over and I wouldnt have anyone do that for any length of time. AWD is great for helping you get moving and stay moving but if you know there will be ice on the road and you are choosing an "all season" ( read : no-season ) tire compound then you are choosing to be a road hazard for other drivers. If budget is your concern then I would look into a set of general brand ice tires, they go for something like $60 a corner. You could wrap them on steel rims for about $300 total and be much safer on the road than your all seasons.
I know you dont want to hear that you need snow tires but in Alaska thats the price if driving between November and March.
Slow is Smooth > Smooth is Fast