any thing below 40 degrees is safe.When in doubt always clean the body cavity with a hose if possible .then skin the deer ,the hide retains heat big time ,if your worried bout bugs use a game bag or lots of black pepper.put as many bags of ice that will fit in the body cavity and tie the the cavity shut.keep in the shade.a deer will keep for days like this.believe it or not you can , i wouldn't,once the body is chilled put it in a sleeping bag .Its supposed to insulate it.never tried but hey your cooler is nothing but an insulated box
Now therefore take, I pray thee, thy weapons, thy quiver and thy bow, and go out to the field, and take me some venison.
Genesis 27:3 "The thinking deer hunter should mature through three phases during his hunting life. First phase, "I need to kill a deer." Second phase, I want to harvest a nice deer. And last phase, we must manage this resource so our children and their children can experience the grand tradition of good deer hunting." - Jim Slinsky