I work in a test lab so we do actually have o-scopes. I am not all that familiar with it yet, and have been using our Fluke DMM and amp clamp to check voltage and current.
So what your saying is get a single ohm resistor with a power rating of what like 150 Watts then, and then measuring the voltage drop across that resistor in series? That will show me fluctuations in voltage, but ultimately that is then either a faulty blower motor or the hvac control then correct?
Yep. P=IV=I^2R, so an ohm at 12A will be about 150W. So that's not really practical for most people ... sorry. You can go lower with the resistance, and have less PD (power dissipation). Low resistances are very hard to measure accurately though. A coil of wire may be enough resistance to see a voltage fluctuation. You won't know exactly what the current fluctuation will be, but it would show you the fluctuation in real time.
But I'd measure the voltage in real time across the existing circuit elements first. Measuring directly from the motor leads to ground should be ok, unless the back EMF from the motor goofs up the meter. I would put an inductor in series with the meter to filter out junk from the motor, but that's getting complicated. If you follow that and have an rf choke on hand, you could try it.
Might be better to start as far away from the motor as you can, and look for where the voltage fluctuations originate. With a VOM, you should see the voltage going up and down and then you can isolate where the switching is going on.
Have you tried connecting the Fluke meter to the runing motor and ground while the fluctuations are happening? Your typical digital multimeter (DMM) time-averages a DC signal, so the averaging may not be fast enough to detect the voltage changes. But you should be able to see that the voltage is fluctuating by watching the display jump around. Not accurate but telling. Fluke meters are great and very very tough, and there is a lot you can do with them.