So I finally made it to the Mormon Trail (off 24th and Baseline).
As others have said, there is little traffic here compared to Camelback mountain and I understand why. There are more trails to choose from, and it's not nearly the challenge Camelback is for instance. But it's a nice alternative if you want to beat the crowd.
It was moderately difficult at some points, but I'm not sure if it was the trail itself that was moderately difficult or the fact that the sun was beating down my neck with no shade to escape and absolutely no breeze whatsoever. The attack of flies probably didn't help either! I don't think you are going to catch a lot of wind any time you're on the outskirts of the mountain looking toward the city so my only sensible suggestion would be to go early early early!
It's dog friendly if you bring enough water. The view of the city is pretty spectacular and it's very deserty. Look out for Gilo Monsters, they like to watch you themselves. :)
I like camelback better but this was 'nice'.