Ventilation through the body cavity is what actually prevents spoilage before you get back. Once you've field dressed cleanly, prop the chest cavity open with sticks or your knife handle so air can flow through - this drops the internal temp way faster than anything else. If you can, position the carcass so the cavity faces a breeze, and if there's any way to get it elevated off the ground (hanging from a branch, draping over a log), do that. You want maximum surface exposure and air movement, not just shade.
I learned this the hard way years ago when I had a decent buck down at mid-morning in warm conditions and got overconfident about a two-hour pack-out. By the time I got back to process it, the meat nearest the organs had started turning color and smelling off, even though I'd field dressed it reasonably fast. Now I always cut open the diaphragm completely to maximize cavity access, and I literally wedge the ribs open if I need to. For a September hunt, you're also fighting flies and heat together - keeping the cavity open and aired actually deters some of the insect activity too because flies prefer enclosed, warm spaces.
The other thing that makes a real difference is cooling the meat itself once you've removed the organs. If you're far from water, pack what snow or ice you brought in cloth and tuck it directly against the meat, or at minimum get a wet cloth against the inside cavity. Even evaporative cooling helps more than people realize. And once you're moving it, quarter the animal if you can - smaller pieces cool much faster than hanging a whole cavity, and it's easier to pack anyway.