Upvote:4
Division of human beings into distinct entities called body and soul is not original biblical (nor generally Semitic) thought but is usually attributed to Greek (and other pagan) philosophies. This is not to say that this division is necessarily false, but there are two points worth mentioning:
Now, how this is this relevant to your original question? Well, you call the body "sinful" and in the New Testament we can find references to sinful acts coming from the body, but it is not clear how much of it is just an allegory, a metaphor appropriate to the minds of people from those times, those cultures. One must be careful not to fall into trap of gnosticism, manicheism or other ancient heresies which took some philosophical concepts too seriously and come up with misleading dualisms like holy soul vs sinful body and others. We don't know many things about life after death and all our concepts: body, soul, heaven, hell, are only some simplifications which even visionary mystics describe in various ways.
Also, think about this: even in modern psychology there exists some general notion of dividing human beings into mind and body, but this is a strictly conceptual division which helps us to create useful, ordered perspectives. In reality, every scientist will tell you, that there is no way to separate mind from body, as they're interconnected in so many ways that their separate existence seems completely absurd.
So my answer to your question is: it is not the soul which is punished but a human being regardless of what we ultimately consider him to be in our limited minds.