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thefroulox
What sort of view do you have to the west? You can comfortably use 20 deg altitude east or west. Once you start to get too much higher Azimuth adjustments start to have an impact on you readings.
This isn't to say you can't go higher but you will likely need more iterations between Altitude adjustment and Azimuth adjustment.
You are certainly going the right way about it using K3. Its all I ever use and it will give you an accuracy as good as if not better than any other method.
but then maybe I'm biased