If it's a normal snow year you will be hard pressed to get up to the wilderness. Just saying...
Hunt the snow line, watch for tracks, etc. Not sure why guys have said the area around the hatchery is all private? Sure, along the highway and south of there. There's the Government Mineral Springs area, Falls Creek, the lower end of the 64 road, the Wind River valley. Lots of area that have local elk and also they will winter in these areas along with being on private land. You should have zero issues finding public land.