I'd try to see if I could get an outfitter. There is a lot of private land there also. I wouldn't waste the tag if it was this late in the game and didn't know where to start. Just too good of a tag to waste.
Most of the ranches that have elk are in the Carter Mountain hunter management area, which you can hunt by getting a permission slip from the links below. I'd hunt the upper portion of the rim, which is the southern border of the unit or the upper part of Sage creek.
Don't shoot the first 300 bull. Good luck.
Cody