Interesting idea. I tried not using the chart at all, but at high time compression I'm worried about running aground, as the lookouts don't call out land.
Currently I roll a die from time to time, and use the results to move my waypoints. Sometimes I end up well outside my patrol grid, or way off course while travelling. This way I end up not where I wanted, but I can still see on the chart if I get close to land.
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