I would not recommend employ such approach, for many reasons.
You should necessarily work with a big set of capacitors, in order to reach entire range of Inductors values intended to measure. A manual or auto switch would be required for select into a set of (precision) capacitors. Another point concerns to the intrinsic non-linearity related to calculation, becoming fine tune somewhat not so simple.
I presume the best way to do that could be applying fixed voltage pulses directly on the inductor and measuring the current ramp, which is proportional to its value. This way you would deal solely with time domain, adjusting microprocessor timer prescaler to take proper range.
+++