If you are not willing to hunt in warm weather here in SE Alabama, you may as well not hunt. I have walked to my stand, in the dark ... mid January ... naked from the waist up, carrying my shirt and cap in my fanny pack becasue it was alreay 75F +/- and headed to the high 80's. This high temperatuures in January is indeed unusual for sure, even this far south. But 90F in mid-October is not. I have archery hunted in October when the midafternon temp approached 95F. Not "real fun" and for me, seldom productive.
Managing meat cooling as I see it is always to get as cooled down as fast as practical, and as soon as possible. I am going to be remote, I carry 10-15 gallons of tap water water, a small "garden sprayer" and a 90 qt. Igloo "Marine" ice chest filled with ice. I use the water to clean the deer, using the sprayer washer to give the water some dirt/hair removing force. I'll bury the meat in ice best I can and leave the drain plug open so that the melt water drains out. When the meat cools of enough for that to settles down, I'll close it off ... draining later at irregular intervals.
If I am at my camp, I load the deer and head on in ASAP ... where I have a skinning shed and a walk-in cooler. Makes it nice for sure.