Real inductor equivalent circuit
An inductor's resistance is properly modeled as a resistor in series with an ideal inductor (as you said neglecting AC resistance and capacitive elements.)

It may seem like the resistance is in parallel with the inductor, since if you put a multimeter across the inductor you will read the resistance component across the two terminals.

However, if that were the case if you put a voltage step across the inductor you would get an immediate step of current (V/R) plus the ramp of current due to the build up of the flux.

In reality you do not see that behavior, the current starts at zero and ramps linearly until the inductor saturates or the drop on the series resistance becomes significant compared to the applied voltage.

So the resistance is effectively in series with the inductance.