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20mm is really really narrow. Depending on distance to the scanner and the resolution, such a pole will result in only a few laser points, if at all. My suggestion would be to do some basic calculations first to see the number of points the lidar will 'see' a snowpole with at what range.
My bet is that that is relatively low and thus that a lidar is not really a great way to achieve this goal. If I'm wrong and you do get eg. tens of points on a snowpole, you could do a Hough transform to fit circles on those points. Or just clustering could be sufficient.
If lidar does turn out to not be useful, a stereo-camera that filters out red blobs (which should be do-able against a snowy background) could be an option worth considering.
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