I do just like I do with coon, but modified.
I lay the skunk down on a table and ring the rear ankles.
I then cut up the leg toward the anus but stop before passing the thigh.
Then I skin out the legs and carefully skin back toward the tail.
When I have the leg, thigh, and hips skinned, I start very slowly to pull the skin and cut only the connective tissue leaving plenty of fur around the sacks. A little pulling will help separate the skin from the meat and you can leave some on the belly around the sex organs and the sacks. Then I cut behind the anus like on a coon, cut down the center of the tail, cut the "V" like on a coon but more toward the leg than the belly, skin and pull the tail and then peel him off.
I have skinned several this way. You will end up with a larger tuft of fur from the anus forward around the sacks than on a coon but really it is just about the size of the sight window on a coon.