This has been way overthought. A flow meter is going to be overkill. It should be possible to calculate this to between 2 and 3 significant digits of accuracy using a gauge and a stop watch. SCFM can be calculated using 3 measurements: Change in pressure, time required for that change in pressure, and tank volume (perform testing with tank valve closed, so that tank volume is a known constant).
Determine the point at which you want to measure. For example, say you want to know compressor output at 90 psi. We need to use a pressure range for a delta P. Compressor output diminishes nearly linearly as output pressure increases, so we will use 90 psi as an average of our start and end figures. We will time the pressure rise from 80 psi to 100 psi. Output at 80 is a little higher than output at 100, but using those points at beginning and ending effectively averages them for a calculated output at 90 psi. Lets say we have a 60 gallon tank, and it takes 33 seconds to rise from 80 psi to 100. I will show you the formula and explain it as we step through it.
((Delta P)/14.7)*((tank volume in gallons)/7.48)/(time in seconds/60)=SCFM
First we divide our Delta P by 14.7. That converts our pressure changes from psi to atm (atmospheres). If you push 1 cubic foot of air, into 1 cubic foot of space, the pressure within that space increases by 1 atmosphere. Our delta P/14.7 becomes 1.36
Our tank volume is divided by 7.48 to convert our volume measurement from gallons to cubic feet. Our tank volume becomes 8.02 cubic feet.
Our time in seconds is divided by 60 to convert it into time in minutes. Our time in minutes becomes 0.55 minutes.
(1.36 * 8.02)/(0.55) = 19.8 SCFM
To truly make this representative of SCFM, there would be some calculations necessary to adjust for variations in temperature, barometer, humidity, etc, but unless there's an actual reason to justify that kind of high precision, it would be unnecessary overkill (redundancy intended for extra emphasis).