Pretty sure most of us have had scenes and experiences like the OP. The coyotes are always teaching the trapper. Lot of good advise already presented. I think a lot of trappers experience a lot of frustrations when they see tracks and marking around their sets. I certainly have. Gotta put those frustrations to the side and see what is there that can help you to understand a bigger picture. I get excited for most snows we have around here. Doesn't improve the conditions for trapping, it does improve conditions for me to learn and actually see what may be going on. The more you understand about the animal being pursued, the greater the chance for success. A lot of the responses you got are the experiences of the experienced. Well worth retaining and applying.
I know a lot of trappers plant their trap, and then watch it for weeks throughout a season, then, when the set connects, weeks later, they are satisfied that their sets work. They do. Not saying they don't. Just seems like a lot of checking, looking at empty sets, wondering why, and getting frustrated. Our coyotes pass through an area every 3-7 days usually. If they walk by my sets without working them. I add something. A smell, a different set, something. The biggest issue I've found for myself has been..
1) using bait when they have plenty to eat
2) not being on location
3) using the same smells at all or almost all sets, or not changing up from season to season
4) not being on location
You recognize McDeath by the golden arches. My bet is, coyotes recognize a good spot to look for a meal visually too. Most reading this post will recognize that pile of rocks as the golden arches, AND, they know to set it with multiple traps. Lot of trapping is about percentages. Improve your odds by planting more steel. Trappers that take a lot of fur, generally set a lot of traps.
I can't say I've got it figured out, but I'm learning, and for me, that is a big part of trapping. Gives me the chance to see, understand, and interact with nature.