I understand this, Just worry that you might transform your issue from creating a very small source to trying to measure a very small number(without distorting it).
Even my loopgain approach has this fault, you would need to run the closed loop output through a gain of 100(meaning the closed loop gain would be very small, maybe 1/100 to get the accuracy needed for a 100dB amp, which again runs into the possibility of distorting while gaining.
You may use multiple methods to see if you can find agreement between them.
I wish you luck Junus (I hate having to use experiments to verify theory with high precision, too many limitations and non-ideality crop up)
,Pb