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I've done similar solar alignment but rather than use a dowell, I hung some 4mm - ish cord from a ladder with a heavy weight / plumb bob on the end which seems to work well providing it's not windy. Then just make sure your stellarium/sky safari/luminos etc app has your correct time and coordinates, select the Sun, and when it's azimuth reads 0.00, your shadow points true south - mark that with whatever is appropriate for your location - string / line in sand / paint etc.
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