I'm trying to relate to the temperture conditions in your area and I'd say that unless you have a cooler that you can store your venison for a few days, hanging, then you better get it into a freezer. I know it's not a logical step from the field to the freezer as there is a whole bunch of other stuff that has to happen, in between. .....
I remember an Alabama hunt where we shot some deer in the morning, dressed and skinned mid day and hung them in a shed. By late afternoon, the blow-flies got to some of the meat. ....
Keep in mind that you can get cheese cloth sack to put the deer in.
I now mostly hunt Midwest seasons and high heat is usually not a problem. We like to let the deer hang for a few days before cutting up and there have been times that the hanging deer have frozen. That presents us with another set of problems.
Be Safe !!!