In which case your answer begs the question, why don't you propose an alternative?
For example, why not use standard surveying techniques and trigonometry to map out areas?
Standard surveying techniques use the latitude and longitude system.
Longitudes aren't based on Globe or Flat model.
They are based on times of solar noon and it doesn't depend on model.
Latitudes are based on distances along those longitudes.
Obviously, for any place you select, longitude and latitude will be the same regardless of Flat or Globe model.
(Additionally, latitudes can be measured by angular elevation of Sun at solar noon for Equainox.
For other days there are tables of sun's declination, tested in reality for centuries.
But this part points to Globe so you can ignore it.)