At what range can you put 9 out of your first 10 shots within 3" of your poa? This is assuming a 6" kill zone, as 3" either side of poa gives a 6" total area, that's moa at 600yds. This is also assuming you aim center mass. If you hold high back, you may only have an available 1" of vertical error.
Get it? The answer here, depends upon your morals/ethics, if you don't care where you hit the dog, if you wound it or not, then the answer is simple... Infinity
If you do care, then you set a baseline, as in my first paragraph, now hitting within 3" of poa 9/10 times would probably limit most to 300 yards. Especially since this isn't a game of shoot 30 times to acquire your dope, then fire 10 for score.
This is field conditions, you better call your wind and elevation correctly, better know where your cold bore will hit, no BS reality.
So, how far... Well, decide what kind of person you are and let us know, there really is no right or wrong, I'm not god, I can't tell you how to live your life and have no business judging you.
This round will kill a coyote as far as someone who cares about the animal will shoot, outside of that, you don't care, so infinity is your answer.
I'm currently building a 260 with the intent of being able to reach coyotes at long range, this means 500+ to me, this also means, given normal conditions I need to be able to hit that 6" circle. This is just my limits, that's near 1/2moa at a grand, you're really dreaming if you think you'll hold this 9/10 shots. It's not easy, takes a lot of practice, costs a good chunk of $$, but I'll do it with a smile, all while knowing 3 of my last 4 coyotes were shot within 30 yards.
But, when I'm hunting a cattle farm or a sheep farm, my limitations go out the window and I will do my damnedest to kill any coyote seen, 20 yards or 1000.
I also make an effort to shoot a decent amount, I've put near 800 rounds downrange in the last couple months. I've got 10 cases of 260 ammunition waiting for my gun to be finished.