All are possibilities. Pikepole and Pickaroon if you get uphill away from the campgrounds, where you may have company, and you have to dodge around the wilderness. Brooklyn Lake north along timberline, away from the road, all the way to Windy peak west of Sand Lake should have some timberline bucks, and most of the roads off Sand Lake road are closed. The area you describe on South Spring Creek is the stuff below Bridger Peak, and it has produced good bucks in the past, but there will be lots of hunters along the BLM/NF boundary. Try as I might, I can't find a Chimney Rock Campground on the Medicine Bow National Forest, and the forest map doesn't list it. Chimney Park, perhaps, across from the Lincoln park campground? Lots of hunters there, camped all along the Lincoln Park road, but most won't hunt that ridge to the north and west of Chimney Park.
I presumed you were hunting like most of the rest of the world, not packing in. If you want to pack in, you might also consider the area at the end of Forest road 241, in sections 32, 4, 5, 6, and 8, also near timberline, where I have seen bucks while hunting elk that obviously hadn't seen hunters in deer season. The area can't be accessed this year from road 220 because the torrential rains earlier this year washed out that road. Ditto the roads up Little Brush and South Brush Creeks unless they have been repaired in the past few days. The hike in to hunt from road 241 should be mostly flat. Or, you could just find water and camp at the end of the road and day hunt to the north and east.