An Accurate "out of the counter" rifle:
I had some time to waste, and felt a diatribe coming on... we'll see if anyone is still looking at this old discussion.
The most significant contributors to innaccuracy are: shooter's flinch, trigger effort, paralax error, and rifling twist-rate. Once you've mastered those, you can work on loading/ballistics. Then, barrel harmonics.
I have two out-of-the-box Remington 700's:
One, a 700 CDL in 300 Win Mag (26" bbl), which prints slightly over 1" patterns at 200 yards with Remington 180 grain Core-Lokt. It has a Nikon Monarch 8480 mounted on it. Combined, the rig was $1200 new.
I also have a 700 BDL in 30-06 Remington (24" bbl), which prints 1.5" patterns at 100 yards using any old junk I have put in it (with open sights, BTW)... I just mounted a Nikon Monarch 8424 taken off the CDL... and it hasn't been sighted-in yet... but, I'm champfing at the bit to see how she does.
Both of these rifles are more accurate than 80% of the "Sniper Rifle"'s I have seen advertised.
The fact is, family-inherited biases aside... the military, police, and competetive worlds all predominately use Remington 700 actions upon which to build their precision shooting hardware. And, a used Remington 700 in 308 Winch. (currently the most accurate, reasonably-priced, easily available ammo) with ample life remaining can be gotten for about $450. A decent used scope can be had for a couple hundred dollars. This combination will afford a novice "sharp-shooter" to practice out to 500 yards, without killing your retirement savings.
And, you will learn a LOT tinkering with this rifle. The barrel can be free-floated and glass-bedded, you can buy a Timney trigger group, there are some pricey ammo's available (Black Hills, Fed. Gold Medal, Hornady competition ammo, etc.)
Once you've learned to breathe, learned to relax, learned good posture, and saved your pennies... then, you can move up to a REAL shooting machine and buy a Sako TRG 42 in .338 Lapua... for about $6000 with all the "fixin's". Ammo is about $3 a hit.
Keep yer powder dry.
JB