I don't know if you have hunted the Chalk Creek are before but you'll find that it is about 70% (kinda) CWMU and the other portion is mostly cabin properties.
What this means is that if you got onto some property it would more than likely be a location where (seriously) 100 other people were hunting.
Though my info is too late, your best bet would be applying for a cow elk tag somewhere in Kamas.
I hope this info helps and you can either gain access in this area or find a tag somewhere else to fill the freezer!