Hmmmmm,
If you are thinking of a .223, then better first check to make sure that it is legal to hunt deer in your state with a .223. In most states, it is not legal.
I know that lots and lots of folks who have never tried it may disagree, but out to 100 yards, the .357 mag is a very very good choice. I have seen two Marlin model 1894s, with compact 3x scopes, consistently shoot 1.5 inch groups at 100 yards, from a bench, using just the plain, factory PMC 158 grain softpoints. In other words,the .357, in the 1894, can be very very accurate. And, the recoil is almost nothing! It is a wonderfully light, quick, versatile rifle, and it will absolutely hammer a 100 pound animal out to 100 yards.
I know you are a bolt guy (I am too) but my advice would be to just try a Marlin 1894. They are much much better carrying guns than the average lightweight bolt gun. You can find a very good used 1894 at most big gunshows for about $375 to $425. Unlike most lightweight bolt guns, they are not butt-heavy. They are perfectly balanced.
If that is out of your price range, then I would also suggest that you just try an NEF Handirifle, in .357 mag (or .223 if you prefer). I never thought that I would like a rifle like this, but my brother has one, and after shooting and handling it for just an hour or so, I fell in love with it. It is the ultimate "carry around" "knock-about" in the woods rifle. Even with a scope, it carries and feels like a small .410 shotgun, and it brings back great memories when you crack open the action and eject that nice brass shell.
In my humble opinion, the .223 (although it is a great long range varmint round) is a very bad round for knocking around in the woods, or small fields and woods. It is very very loud, it will probably travel 2 miles if you have an errant shot, it is a very poor deer round compared to a .357 mag with a core-bon hunting load (out to 100 yards), and it is far more expensive than the .357 round. After 100 yards or so, the .357 round is loosing steam really fast, and probably doesn't travel much farther than a sabot round in black powder rifle.
If you are really dead set on a bolt gun, then I would respectfully say that what you are asking for (accurate gun, with scope/rings, under 6 pounds) does not exist in any bargain or economy rifle. Don't waste your time trying to find one. This combo is the "Holy-Grail" of bolt gun hunters, and requires very very expensive engineering and design, for which people routinely pay $1,000 to $2,000.. The Ultra-Light Arms version is a perfect example. A great rifle, and a high price to match.
Just my thoughts.
Regards,
Mannyrock.