This is one of those situations where you likely will get as many different answers as the number of people you ask. I have tried many different bullets for coyotes and have settled on the v-max 58 gn Hornady. They are extremely accurate in my 243's and knock the coyotes down (most of the time) with acceptable damage. Of course there have been exceptions but this has become my go to bullet for coyotes.
For deer, I load heavier bonded bullets (>85 g).
I tried using the heavier bullets for both deer and coyotes, but got frustrated with pencil hole straight through holes on coyotes that were shot at close range. Tracking wounded coyotes in deep snow is not my thing.
I obviously adjust for POI when I switch bullets. It is surprisingly not a big change.
You could also just make the adjustment in the field if you get in a situation where you have to. This rarely happens, since I won't take a shot at a coyote if I'm shooting deer and vis versa.
Hope this helps.
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