Craig, in a sailboat you are almost not moving most of the time
As another way of considering your noon fix. If you start taking altitude sights before local apparent noon(LAN) and note the time of each sight and continue after LAN when you get the same altitude AM and PM then LAN was half way between the times. The time of greatest altitude is a little difficult to get directly because the curve is rather flat for a few minutes. Greatest altitude will give Latitude, LAN will allow you to find you local hour angle and worked from Greenwich will yield Longitude.A noon fix will tell you if you are at the entrance to Miami or Daytona. It won't tell you if you are on the right hand edge of the channel.
As another way of considering your noon fix. If you start taking altitude sights before local apparent noon(LAN) and note the time of each sight and continue after LAN when you get the same altitude AM and PM then LAN was half way between the times. The time of greatest altitude is a little difficult to get directly because the curve is rather flat for a few minutes. Greatest altitude will give Latitude, LAN will allow you to find you local hour angle and worked from Greenwich will yield Longitude.A noon fix will tell you if you are at the entrance to Miami or Daytona. It won't tell you if you are on the right hand edge of the channel.