When you open the original photo, you see that there is a huge gab on the right in the histogram. You can actually see that there is a peak in the center of the histogram. Part of this is good, because the wood is nearly 18% grey. However, the gab does indicate that there is no information in the highlights. By sliding the highlight slider toward the left close to the first little peak, the snow will turn white again.
I've also adjusted the shadows a little and added a bit more sharpness.
I really do hope this helps for your next snow photo.