I freeze now for three weeks, and gut but leaving the organs in , and give the rabbit, with skin,and feet, to the dog. The heads go in for the ferrets.
My old Lurcher used to eat the complete rabbit, after freezing.
I have never heard of a dog having problems with the skin, but i'm not saying it can't happen, just unusual.
There was always a massive noticable difference in my old lurcher when fed rabbit. Much more life about her, and more of a "bounce". That was in just 24 hours of feeding it.