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 calling coyotes, more often than not they will circle on a target they are
coming into and approach from the downwind side. Presumably they do this in
order to align what they smell, with what they are hearing.
This means that you should always have your downwind side camouflaged and have
an open shooting lane. If the area is heavily covered the coyote could come in
take a look and be gone, with you none the wiser.