A good multimeter has a rather high resistance when in Voltage mode (in order not to disturb the rest of the circuit) so when you look at the rule for resistors in parallel you'll see that in comparison only very little current will flow through the multimeter in Voltage mode.
In current mode that's a complete other thing, then the multimeter has a very low resistance, close to 0, again in order not to disturb the circuit.
I mean, comparing the voltage reading and the resistance of the atty from a meter and comparing it to the output screen on the mod...it can't be THAT easy, can it?
Why not?
With the oscilloscope you can pick up the signal gradient (hope that's the right word) and get a rough idea of what happens over time, with the multimeter you can accurately measure the peak
Both measurements can then be used to calculate power.
The multimeter can also be used to measure the mod internal resistance with the shorting pin as well as verify the quality of parts used on the mod's board if you like.
Common multimeter sense still applies though, initially set a higher Voltage than the one you want to measure and refine your setting from there in order not to fry anything with an unexpected Voltage spike.