Depends on the DMM. Perhaps a low powered (professional) LCR bridge is the way to go. Besides, the inductance of an MC isn't usually an issue, being relatively low. Any value under 1kohm loading will likely eliminate any resonances.
I would use the loading resistance to tune for sonics instead of maximal bandwidth. This can only be done by ear. Personally, I like to err on the high side. I am not into the dark and mellow sound.
On the other hand, perhaps cartridges are not so fragile. I finally took a FryKleaner to one. I drove the burn-in signal straight into the cartridge. Figured it would act like a motor (opposite of generator) or sonic transducer. Well shoot, I couldn't hear a thing. I even cranked it up to line levels. A full 2V signal on the MM cart. I still couldn't hear a peep. Didn't blow the coil either. Hard to say why. Maybe the inductance was enough to limit input current. That said, I never plugged the cart in to see if it sounded the same. Just thought it was cool that I couldn't fry the coils.
jh