1744 archery hunters in 62 last year, avg 16%
358 muzzy hunters, avg 17%.
Obviously you need to draw the statewide muzzleloader tag, but residents have a better than 60% chance at it. Nonresidents require preference points.
So I'd go with the muzzleloader. And of course about 1/4 of those archery hunters will be in the woods with you while you are muzzleloader hunting
One of the "problems" with 62 is the ease of access on top of the Uncompahgre Plateau. However it is a very large area, combined with some travel restrictions and wilderness around the canyons. There are very few places outside of the canyons where you can get more than a mile from a road. So I'd say the east-west running canyons are your best bet. During nasty weather, or warm days hunt the north facing rims, hunt the south facing rims after a storm and during cold days. There's only one north-south running canyon, but it's a big one and has good cover on the S/E side.
If you are archery hunting, I'd stick to the higher elevations and canyons with running water. Or do your best to find springs and water pockets. The best ones are those that aren't marked on a map. The mouth of a canyon is a good place to find water holes that aren't marked. For those that are marked, it's a good idea to find one that's over a mile from a road. A pack trail is fine, as there likely won't be more than a few dozen people using it.
With an area that is so heavily hunted, you're probably better off having me not list specific areas that I would check out.
The exbiologist is quite right about everything he said, unit 62 is one of the most heavily hunted units in the state. I have been on that mountain since I was born I think there is almost more archery and muzzleloader hunters than rifle hunters. yes there are lots of animals but 9 times out of 10 a beginner that does not know the area doesnt have a chance and all the scouting in the world is not going to help you. The idiots scout so much up there it might as well be hunting season from July on. Im not trying to discourage you its just the brutal truth. Good luck and good hunting.
When placing a trail camera don't just look for a well used trail. What you want to do is look for a freshly used trail off by itself that goes from a north facing ridge, thick forest, brushy knob or some other similar bedding area to a food source. Don't forget water sources. Especially in the summer months the deer need water so look for a good trail going down too a creek surrounded by thick cover and place the camera 100 yards up from the water source.
Scent control is very important...