Finding the inductance of a coil with a soundcard ?

That region of higher frequencies is the region of inductive reactance and this is exactly what you are trying to find, a voice coil inductance at certain frequency.

You can calculate yourself inductance value as long as you have Z(ohms) and phase angle (degrees) defined.

Xl=Z*sin(phase angle); Xl=inductive reactance
Xl=2*pi*f*L; pi=3.14159; f=frequency in Hz; L=inductance in Henries
 
I can indicate that the REW plot of impedance amplitude and phase allows the calculated inductive component to be read from the plotted curve (by placing the mouse pointer at the point you are interested in), and so the value will change with frequency (eg. approach DCR at low frequency), and will change to a capacitive value past the first resonance. REW also separately displays the equivalent model parameters, if valid. Often for comparison a particular frequency is typically chosen for certain part parameters like choke inductance (eg. 100Hz), or output transformer leakage inductance (eg. 1kHz), so the measurement frequency should really be stated when an inductance value is stated.