Waxing philosophical for a moment, if ol' Phil doesn't get mad: I've been messing with centerfires for almost sixty years. I like to think I've figured ot a few things.
I'm gonna operate on the assumption that I'm not gonna hunt anything bigger than Bambi, and not beyond some 300 yards, okay?
So: I want the lightest rifle that balances well, and I don't see the point of a cartridge with more thump than a 7mm08. For the money, I figure that the Rem 700 Ti is a Really Neat Thing. Wish they'd had those critters available forty yers ago.
Coyotes and such? A .223 is good to around 200 yards, IMO. A .204, from what I'm hearing, is good to around 300 yards. For all practical purposes, about like a Swift or .22-250. To reach out farther is a skill argument, not a gun argument.
On coyotes, you generally get just one shot. A coyote can go from zero to not-here just really, really quick. And the devil will go into the ice-selling business before I worry about personal jeopardy from a 35-pound dog. But a coyote has one fatal flaw: He sees you; he heads away; but then just before he goes out of sight, he stops and looks back. That, Dear Heart, is when you explain to him the error of his ways.
Prairie dog sized critters? Most any splatter-bullet rifle will do. Google for "red mist", if you really want the gory details.
Nuff fer now...