Back on topic:
One thing that might work although it will increase the workload by quite a bit is to note down the time it takes, in seconds, for the bearing to be reported on the neighbouring degree then estimate how close to either extremes true bearing is. It will not completely solve it but it may be one way to make it more accurate.
One problem I see is that one would almost certainly be forced to pause, especially if one uses 3.15 intervals. In the real world, one can expect more than a single person keeping track of it all as it happens so pausing could be used to fake 2 people working simultaneously. Not ideal but it might be a workable solution.
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