Excellent experiment Miro.
Take care on setting the source impedance for the AC generator. If not sufficiently large the loaded Q will be quite low and the net affect of seeing the de Q of the inductor as well the freq shift. This will be difficult. You can apply an ideal transformer to provide a step up and step down in Z level while obtaining an accurate transfer function for the network under test.
I will try the same experiment as it is a good exercise.