To be honest, I've never seen an SS1 in person. But I think you'd still be fine as long as the ground is fairly level and you stomp out a snow platform. That not only creates an easier pitching area, but it warms you up!
In frozen ground, but very little snow, this is what I do:
I lay out my shelter and begin pounding my stakes partially into the ground with a rock. I use MSR Groundhogs because they can take quite a beating and will penetrate frozen ground. Just be sure to hit the stake squarely. At first, I don't really pay attention to exact stake location because often I have to move a few. That is why I only pound them in partially. As the shelter takes shape, I can pull up the stakes and re-set them where necessary. Once I'm happy with their location, I finish pounding the stakes in. Most likely they will freeze into the ground by morning. To remove them, you have to break the ice bond by giving the stake a good solid whack with a rock. Hit the stake further into the ground instead of at an angle or from the side. I've broken a stake doing that. They will pull out once you break that ice bond.