In our club, we always gut the deer right after killing it. Usually wait till dark to bring it down as to not disturb other hunters. We hunt 650 acres with 25 guys during rifle season. Don't need all that movement on the first couple of days. We'll gut em right where they fall and it's usually within shooting range if any coy's come around the next few days. Downside, the crows will announce to the whole damn county you got one. Man, I'd love to have a plinkin rifle with me when their around.
My first deer back in 68, second day I ever hunted, shot em at 7:00am. My dad said he'd come back if he heard shots. Never came back till 3:30 and we had some spoilage on the one side. It wasn't really that warm, bout 55 or so, and it seemed strange that it would go bad so fast.