Grounding the meter at the battery is perfect. I think you already checked for voltage drop from battery to engine, correct?
I finally peeked at pictures of that starter, I see your difficulty in getting to those nuts/studs on the solenoid!
Alligator clips usually have sharp teeth and a grip strong enough to bite through rust, I don't think that is an issue. One trick is to wiggle the clip around once it is biting, to help the teeth scrub through any surface corrosion/paint.
Want another test? Clip the meter leads to each of those nuts on the solenoid. You should have 12V until you try to crank and the solenoid "clunks", then voltage (between the nuts) should drop to near-zero as the contactor inside closes.
How adventuresome are you? I think it is almost certain that solenoid is bad, and solenoids alone may not be available. Worse yet, that seems to be a pricey starter! You could open up the solenoid (take off that end cap) and see if the studs can be removed and rotated 180 degrees to make it "like new".
I finally peeked at pictures of that starter, I see your difficulty in getting to those nuts/studs on the solenoid!
Alligator clips usually have sharp teeth and a grip strong enough to bite through rust, I don't think that is an issue. One trick is to wiggle the clip around once it is biting, to help the teeth scrub through any surface corrosion/paint.
Want another test? Clip the meter leads to each of those nuts on the solenoid. You should have 12V until you try to crank and the solenoid "clunks", then voltage (between the nuts) should drop to near-zero as the contactor inside closes.
How adventuresome are you? I think it is almost certain that solenoid is bad, and solenoids alone may not be available. Worse yet, that seems to be a pricey starter! You could open up the solenoid (take off that end cap) and see if the studs can be removed and rotated 180 degrees to make it "like new".