Well when I was trapping beaver full time I would catch 10 or so a day lay them out on some old bed springs to dry. After about 2 days I would skin them. I can't see how I could have been able to chill all those carcasses. Same with after I rough skinned those beaver I'm not about to take all those hides place them In freezer to chill them. For the most part those freezers were filling up with already fleshed hides so there wouldn't have been room. I never found beaver to be all that greasy.
I remember one time I got a bunch of frozen beaver hides I partially thawed them and then started to flesh. It didn't go so well since I kind of lost my feeling between the knife and the hide. Room temperature works for me.
Now coon are greasy.I like to start out by fleshing off the bottom 4" or 5" this lets the rest of the fat as I flesh roll right off that bare area and I won't build up all that fat and grease like happens when you keep building up fat when you start from the top. I do the same thing with coyotes this keeps the skirt area lot less greasy.
Good insight.
Congratulations, by the way, on you being honored into the Wis Trappers Association Hall of Fame in a few months at the FTA in Marshfield. I'll be awaiting your acceptance speech, as I think I will be there that night.