If you just need a trigger, even holding a basic lead near/on the plug wire will produce a suitable pattern. Not sure how the leads connect on your machine, but if it were my problem child I would try to find another way to trigger.
FWIW idle Kv around 10kv isn't wildly out of the ordinary, but kv in the 39 at idle would get my attention for a potential problem. Your first picture shows all the kv lines even, the second picture they're more varied as I would expect. You'll also notice on the 39kv capture the burn lines are starting at 15kv +. That might be an issue of resolution on the screen though, making things look worse. My point is I think the second capture with a 15kv range represents closer to reality than the setup producing 39kv.
As I said, if you're getting shocked on the ground , you have another issue. That pickup isn't measuring Kv directly, no high voltage is traveling through it. If high voltage IS traveling through that lead, it's leaking out of the secondary ignition components and into your test equipment. Most secondary leads I've used produce voltage at 1000/1. So 1 volt being sent into the scope means 1000v on the secondary system, 1Kv. Some of my pico leads are 10000/1 IIRC. Anyways, with 39Kv being displayed, on my leads I'd expect 39volts. 39volts on a scope lead with no effective current to speak of obviously isn't shocking anybody.