It requires the presence of the active devices -- like cross-coupled pair, or the amp in Colplitts - in its working condition. Therefore the circuit has to oscillate during the measurement¹, which makes things complicated. I can think of multiple ways how to approach this problem, but probably the simplest is to run a PSS & PAC analysis.

Add a PAC current source in parallel with your tank. Sweep the injection frequency and measure the voltage across the tank
a) amplitude (Q= one-sided relative 3dB bandwidth)
b) phase change (Q=d(phi)/d(omega) omega_0/2)

¹ Yes, I am using the phrase measurement even though the desired information is obtained by simulation and not with an instrument.