Mason it is real important to KNOW exactly what your Regs say. For example, the camlock is a relaxing lock by many definitions but not in WI or any state that has adopted WI type Regs.
It sounds like you can snare (as opposed to "cable Restrain") but not use the more efficient dispatching techniques. Now, you will benefit by choosing snares for entanglement vs. open trail sets. Here is a rule of thumb; heavier cable (3/32) for non-entanglement to reduce chew out losses and smaller cable (5/64 a big difference in refusals) in entanglement situations, lethal sets. On these bigger cables, you will find 7X7 configurations very good and the easiest to use. For coyotes and these snares 5 foot snares will be pretty close to the minimum.
You should consider break-away "S" hooks to release leg snared deer and livestock on all your land snares. Remember, just because you have a release feature incorporated into your snare is not license to snare in pastures or on deer trails. Make certain that you anchor your snares well and in a very ridged way, i.e., no to a "springy" limb etc. In non entanglement snares need to be staked as well if not better than traps.
Be very cognizant of the public and restrict your snaring to "out of sight" locations and away from hounds man haunts. Fences will almost always lead to a lethal set and often end with a visual mess.
Hope this helps some.