My 2 cents about the green light, and I'm open to learn from someone who knows from experience...
I have never shined a coyote with a green light. However, I have shined deer, raccoons, and rabbits, with a green light and then all seem to be able to see it. Actually it seems like they see their shadow it casts and it almost always spooks them, except that some times raccoons will look at their shadows or the light and then go back to feeding. However, I've used a red light on deer, raccoons, hogs and coyotes and they do not react to red light, with the exception of one hog that acted like he saw a pinkish-red light I was using although I can't rule out that he saw me moving instead. If the coyotes sees like those animals, I'd trust a red light over a green light.
I do know someone who has used a green laser-type light on coons and they didn't seem to notice. I'm open to the possibility that a green laser might be different than a green LED in terms of an animal's ability to detect it. I'm also open to hear from people who have used green lights on coyotes. I'd prefer to use green instead of red for filming purposes.