When I hunted Ohio as a rule I didn't shoot meat deer in shitty temps or weather. The biggest reason being I didn't want to sweat like a whore in church rushing to get them taken care of. The other was they freaking stink when its warm and the fat is sticky and runny like snot. They smell like a damn goat.
I would hunt horns until shotgun and use the gun seasons to fill the freezer. January muzzleloader meat hunting is the best. No real reason to shoot meat deer early season, plenty of time for that later in cooler weather. Since you asked though. Get the guts out and you should be fine for a good while if they're not in the sun. If it's going to be a most of the day affair get the hide off, quarter, put in meat bags and hang in the shade.