The idea is to go from city to city where no one knows who you are and not sleep in the same spot for two nights in a row. I think it also involves not taking any money with you. What it used to involve was to sleep in the local Beit Midrash [study hall].
What this kind of repentance was supposed to do I imagine was to open one' person to insults.
But I think it also opens up ones mind to "reality" the way the world really is as opposed to they way we are taught that it is.
You learn by how people treat you as an unwanted stranger much more about them than when they treat you as someone they know has something they want like money etc.
To some degree I have lived like this for some time, and it is an amazing way of opening your eyes to how people really are --- as opposed to how they want you to think of them, and the act they put on to impress others.
The inevitable oblivion which must be the fate of the pseudo miraculous and the falsely sacred will be the fate of those that opposed the Gra and Rav Shach.