Hotburn76,
For me and if I am processing it home, I guess I do the same thing my father and his grandfather do... depending on temperature - it hangs in the garage or woodshed for 3 days - at the end of 3 days it usually has a very thin kinda grissely coat over the tissue. I have know idea why they chose 3 days. I have myself have gone as long as a week.
When we get it home we do clean it up remove all the wound material both from the bullet and the cleaning, hang it by it's heals and let it drain. We have at times even wiped it down with luke warm water.
Then as long as the weather cooperates - not freezing hard and not above 40 degrees let it hang.
Whether you have to let it hang or not - I really do not know, but it seems easier to handle and process if it is set up a little bit.
Practice will be your guide
good luck