If you’re willing to destroy the card you can sometimes measure the chip’s input capacitance directly with a meter after detaching the coil. Make sure you measure the resonant peak of the whole assembly with a VNA first though, or attach a known inductance afterwards and measure the resonant peak with that.
Otherwise go with the datasheet capacitance and your measured resonant peak and use a calculator like the one in the thread I linked to figure out the appropriate inductance.
