Well, a lot of us (me included) fell into this "one perfect, all-around bolt action rifle for hunting in North America" thing that the gun magazines encourage in us. Forty years ago what sold magazines was ".270 vs .30-'06." (Today's animals must be much tougher, since the gun mags are now pushing various versions of some .300 magnum for the same purposes. That's a rant for another day, however, and doesn't apply to this conversation.)
The logical fallacy in the "all-around rifle" is that we like rifles and really don't want to be limited to one for any extended period. Can you imagine a professional photographer trying to interpret the world with one camera? It'll work, but a single tool has limitations and compromises.
You sound like a guy who will have more than one rifle in the future, so why start with an "all around" that won't satisfy you for long? Instead, pick one specialty, target, hunting, AK, or whatever, that you'll be using soon and then add to it as you go along. FWIW, two years ago I bought a Bushy AR-15, but it never really sang to me, and I'm back with bolt actions - accurate, reliable, easy to clean, and non-threatening in appearance, but that's just me. YMMV, and free advice is worth just what you pay for it!
Art Eatman's comments are very good, and actually show a better level of performance than I've experienced, but he's likely a better shot and reloader than I am. I echo his experience with the Ruger M77 MkII. It's inexpensive ( I bought mine recently new for $489), probably has the best factory barrels now available, actions that are possibly improvements to the historic Winchester Pre-64 Model 70's, simplified bedding (with their angled action screw), and integral, really strong scope mounts. The only fly in the ointment is a generally bad trigger, but that disadvantage is offset by its design - cheaply and easily adjustable by a gunsmith. I think mine's a keeper, too.
Jaywalker