If the night time temps get down to at least into the low 30s, preferably to low 20s, and then mid 40s during the day, and I can keep the meat in the shade, I've gone as long as 6-7 days hanging. If temps aren't that cold at night, then it doesn't matter, and the next morning, the meat needs to be put into something to get cool. Once it's cool, it easy to keep it cool for a long time. We transport from CO to CA each year with the meat wrapped in old foam mats, sleeping bags and in our trailer.
We never freeze our meat until we process it. Not because we don't want to, but we would prefer it to hang as we like the tenderness and flavor.
If it's archery and it's hot during the day, then it has to be handled immediately.
My experience is that once meat gets cool and it's protected from bugs and sun, it's pretty easy to deal with.
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