Do you have a clamp meter that measures DC? Most only measure AC, and are designed to measure at 60 cycles. The best way to measure DC is with a traditional amp meter. However, you are not really measuring DC in this case. The current is time varying with the coil pulses, so you will actually be measuring an average current. Depending on what meter you use, you could get different results.
However, (again) average current may be ok for what you are doing for change comparison, but it may not give you an accurate ohm calculation. Said another way, it may be precise, but not accurate.
I don’t think your two measurement strategy will isolate the ballast. There will be other losses in the circuit, the ecm circuitry, wiring. Your best bet is to measure the current and measure the voltage directly across the ballast resistor.
It is my estimation that the ballast resistor will take about 10-15 min to stabilize in temperature. That is just a guess from my experience.
Some ohmmeters have temp probes that work pretty well.
The infrared temp guns are designed to work with a non-reflective black surface, any other will affect accuracy.