I drew one of the cow raffle permits a couple of years ago. I went over and hunted for 3 days on 2 different occasions and never seen an elk or any sign on any of the properties you are allowed to hunt. There was about 18" to 24" of snow, so the elk were holding up in the refuge according to several of the locals that I spoke to.
The elk travel through the CPWMA properties, but there is no area that you can hunt that will really "hold" elk. If you want to hunt the late season in a new area, then I would say go for it.