You didn't give any details about the crash. I've repeated the same process using your shapefile, the
Affine Transformations 1.0.0 plugin with QGIS 2.2.0, and everything was ok (after a five minutes waiting time).
I must tell you that, during the transformation, if you see the
Not responding message, this doesn't means the software stopped to work. Few days ago I had to wait more than two hours for an affine transformation for a half of a million features. So, if this is your case, my advice for you is to wait for the process to finish.
In the images below you can see some images from the normal transformation process. If you did not wait enough it is possible to take this as a crash:
But, here's the result: