Everybody is giving you good advice. Lower elevations hold gobs of deer. Hwy 16 will give a bit easier access than 14, which is under construction right now. If you want to hunt public ground, look at Hunter Mesa to Sourdough Creek. You probably won't find any monsters, but there are plenty of deer. Someone else mentioned Tie Hack; nice campground, nice lake, a few dumb mulies.
I took this photo this morning; hoping for elk but seeing deer. I probably saw at least 20 mule deer within a quarter of a mile of where this picture was taken; a couple were starting to get some pretty good antler growth, but they were too far off for a decent photo. Anyhow, this is looking southwest near Hunter Mesa, elevation about 8000'.