For short exposures, this method suffices.
I foud out how to align your EQ mounted telescope without polar scope to the pole.
http://skysurfer.eu/eqmount.php
With this setup I can expose up till 4 minutes with a 85mm lens of a full frame camera (50mm equivalent on APS-C).
EDIT: For those who do have a polar scope: Last year I found out that when you center BQ Octantis (+6.9) you are rather accurate. That star is only 10' from the south pole. I did this and I got trail-free images of 4 minutes with prime focus of the Genesis (500mm).