Bob Bob wrote:
And to complicate matters further the max antenna height being talked
about being around 3-4 wavelengths off the ground is going to break the
radiation pattern up into a number of lobes at various vertical angles.

For that reason alone I think it is still worth modelling. There will be
specific heights where the horizontal radiated component is at a maximum
and this is likely the most desirable. . .

Modeling will show that at great distances from the antenna, the
horizontally radiated field is zero from any horizontally polarized
antenna over ground.

Roy Lewallen, W7EL