Inductors are extremely difficult to predict accurately. If you want accurate model values for an inductor, you will need a lot of experience and some heavy mathematics to account for the construction and environmental reality.
There is no such thing as a reference inductor, they are always “ugly”. Inductors have capacitance between the ends, and between all the permutations of turns. They have resistance and transmission line effects due to wire length. Air core coils have a greater stray magnetic field that, like an antenna, reaches out and reflects back from the universe around them.
A ferrite core gives a higher inductance for the same length of wire, so the inductor will be physically smaller, but the Q will be higher since XL/R is greater and the self-resonant frequency will be at a higher frequency. But at some frequency the core will be lossy, so the core will get hot and and the Q will fall. Ferrite can be saturated, so permeability, Ur, is flux dependent. Ferrite has a permittivity, Er, that increases stray capacitance, but the Er of ferrite is highly frequency dependent.
To minimise external fields wind a wire evenly onto a toroid, then wind it back to the starting point so as not to make a closed antenna loop the size of the toroid. If you put an air cored coil in a metal box you must consider what happens to flux that reaches the metal wall. Does the reflected field phase increase or reduce the inductance, do eddy current losses reduce the Q.
The complexity of inductance calculation by Geometric Mean Distance, GMD, has been largely ignored since the time of Maxwell's 1865 paper, and the work of Rosa and Grover at the NBS. If you find yourself computing GMDs then you will begin to understand the problems.