A 'bent washer' snare is O.K., better than a berkshire, not as good as a cam lock.
You need make a 90° bend in the end of the cable where your stop is. That will provide a better angle for the lock to slide and also lets you make a nice round loop when setting it. Pre-Loading is VERY important. Easy to do:https://www.youtube.com/watch?v=FAf1XPbX5AI
One thing I would add...that isn't mentioned in the video...is that an assembled cable has a 'lay' (a grain if you will). When you put your 'bend' in the cable...be certain you don't twist it and that the bend goes with the lay of the cable (parallel to the direction the lock wants to run).
In your case... placing the snare at the entry point of the enclosure makes sense, but recognize it represents a 'terminal point' (an end place). And as such....the animal has slowed it's approach (maybe stopped altogether) and is wary.
Snares are best utilized along trails prior to reaching a 'terminal point'
(a terminal point can be a feeding place, a watering source, an attack position). Better to set a snare before that... for the simple reason....the animal will be traveling. They commonly encounter vines, twigs, etc...and will push right through them on their 'way' to a destination, a snare feels no different to them. The faster an animal is traveling, the better your snare will work. Most predators travel quickly under the cover of darkness, use that to your advantage.
Also, you need to know how big a loop to make for each animal you intend to catch and how far off the ground to place it.
Lastly, when you set the snare, the dead end of the cable (a foot or so back from the loop) should be wired/tied off to something that offers enough resistance to cause the loop to pull tightly around the neck (hopefully the neck) of the animal, but then break away to allow the animal to take up the remaining slack. Of course...you'll have the end of the cable firmly anchored to something.
The loop itself should drop away from its suspension point fairly easily. I use a piece of bailing wire about an 1" long, bent over in a 'U' shape, then squeeze the end together just enough to support the loop and a little extra.
If all goes well, you will be rid of your Yotes in short order and they will be dispatched as quickly and humanely as is possible using a snare.
If all does NOT go well, you will find a coyote that has 'stepped' though the loop and has both neck and a leg in it. Usually very much alive and not too happy.
Remember, snares are non-selective....so when not in use take them down and make every effort to set it such that your 'target' animal is the only thing caught.