Stumbling down this trail, you come across a dirt road, which you think you recognize from driving in. As you follow it, you realize it must be a different one. Soon, it terminates at an intersection with an ice-slick paved road. You take a look at your map, which is rather fragile at this point, and find the spot where you think you are, and determine the correct route to the cabins. After a slip and a fall on the icy asphalt, you stick to the shoulder of the road.
However, this does not lead to the cabins. You appear to have left the park boundaries at some point because you see the glow of lights up ahead, a gas station. Not the cabin, but a pretty good thing to see regardless. You can at least get some warm food from under a light and stock up on water.