Free: Contests & Raffles.
My deer last year was frozen solid still on the bone 24 hours after I killed it. I couldn't help it...it was about 6 degrees when we woke up the morning after I killed that buck. I had to leave town so I took it to the butcher still frozen. Not sure how long it stayed frozen after they got it but it tastes great and he was estimated to be 8.5-9.5 years old. I was freaking out a little because it froze but the butcher shop guys told me not to worry about it.
Most warm blooded game animals are 98.6 degrees just like us
I don't leave the hide on, because I trim away all of the fascia (silverskin) anyway. If I let the outside dry it makes this process easier FOR ME with neglible waste. I do removed the tenderloins ASAP so they don't dry out. As long as your meat cools fast enough, I doubt there is a right or wrong answer with this one.