I like seeing them - and I've changed my mind on them & deer over the last 10 years. I'd like to take a couple and have the pelts tanned for my cabin - but otherwise I think they are pretty neat.
If you are seeing lots of coyote tracks and few deer - that is a good thing, and it probably means that the yotes are not feeding on healthy deer much iin your area- and have another foor source. I've only seen them really target healthy deer in my area (and we have lots too) - when the snow is deep - like 2-3 ft+ deep.
Here's a great looking one in full prime from a couple weeks ago:
FH