I did something very similar 8-10 years ago, but for a real hunting shot. I had a feeder set up at 656 yards, and put a steel plate beside it for practice with just a cold bore. When I had time, and in the evening, I would send just one round at the small black dot on the plate. I would then ride to the plate and measure impact from POA and dope scope, repaint target and wait until the next day, or until gun was back to cold bore. After a period of time, the gun dope was right, POI consistent, and I decided to see if I could make the shot on live game. Deer were on the corn daily, and I waited for optimal conditions and got on stand. Gun performed as practiced and a perfect shot entered just under the ear.
With that complete, I started to think of everything that could have gone wrong, and I will not try that shot again under any circumstance and not ethical to the animal, as too may factors can change in a blink of any eye.
I do like the idea of the challenge with a steel plate and cold bore. Would probably do it with 3-5 guns, so I could take 3-5 shots per day.
What I did learn was my POI on cold bore at that range was several clicks off from warm/range time barrel. For true LR, it is imperative for most barrels to be zeroed when cold bore.
I did think about making a warming sleave that could be draped over your barrel, and powered by batteries, to bring your barrel up to a constant temperature so your barrel was always the same temp for the shot. Cool idea but doubt anyone would want to buy and more importantly carry it on a hunt.