I've used both and love both. If you're going to use the Stingers, I would suggest the Stinger Buzzcuts. Mike Sohm, who owns Magnus, told me at the ATA show a few years ago that he uses the Buzzcuts. I shot an antelope with a Buzzcut last year and the head performed flawlessly. They fly very nice.
That being said, if you know how to get a three blade razor sharp, either the Woodsmans or the Snuffers do some serious damage when passing through a critter. I'm using Snuffers now, but any of the three are excellent broadheads in my opinion.
I would say it's simply a matter of if you want to sharpen your own or not like Sixby said.