For coyotes at 200 yards, a 308 is tremendous overkill.
I'd just use my AR with a red dot. (If it ever gets here.)
I know the 308 is overkill but doesn't that make it more fun?
Thanks for all the suggestions so far. Please keep them coming. I am considering everything, just leaning towards semi-autos at the current time. Still 6 months out from purchase but want to have an idea what I'm saving towards.