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It was maybe 1200 yards, in a high wind...
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All of my shots at coyotes are at that distance and under those conditions, but I only shoot with pistols--standing, unsupported, one-handed. To make it fair, I won't shoot unless the coyote is running.
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...honestly it was 30 yards in no wind...
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You must be new to shooting...
Long barrel .22 Hornet, maybe? It's still going to be loud. Why not leave a set of muffs with the rifle so you can "suit up" before heading out to do your long-range shooting?
If you really can't manage the muffs, you might look into getting a suppressor. A suppressed .22 Hornet would probably be pretty quiet.