For an 18 footer, the accuracy doesnt have to be mm perfect. Its different if its a scale model.
Seasquirt had some good hints.
Here is a pictorial using some of SeaSquirts methods, just showing the first say half dozen points, using a Compass to draw Circles. I didn't use a specific base measuring unit for the drawing, just imagine they are Centimetres for this exercise.
Have you heard of Tick or Ticking Sticks ?
I have used a variation of that which may give you some ideas.
I have used the Triangle "tick stick" method.
I prefer this instead of just drawing Right Angle lines on the Plywood, and measuring from the centreline to the edges, because trying to keep parallel lines accurate on a large sheet of plywood, is just a pain.
Once you have established the major points by geometric calculation, cut a bit of Plywood in say a Triangle, place the base of the Triangle (Red 4.00 long) on the arbitrary straight line at a planned distance ( Purple Cross) at say 43.7 from Point 3, and mark the adjoining interactions (blue line 3.64 and green line 3.87 ) , of the desired side.
Create a table of measured intersections using the 3 coloured Triangle, plotting points all along the arbitrary main line.
eg. One line of your table will be
For the next point, you can move the Triangle to the end of the straight keel line, but when you are doing curves, you can move the triangle just a few centimetres from the last plot to get closer measurements.
Hopefully you get some more ideas from this diagram.
There are plenty of videos about how to use more traditional Tick Sticks which are a straight version of this Triangle method.