Either the Remington or Savage qualify as far as probable accuracy goes, with the nod going to Savage for lowest price and crappiest stock. If you choose the Savage, you can later buy a laminated stock from the factory if you wish.
There are lots of places where you can get one of these for around $400. (Wal-Mart comes to mind.) The Savage even comes with a cheapo scope and mount which you can sell at your next yard sale.
Don't bother with trying to find a good 'cheap' or used 'scope. Midway, Midsouth, and a whole lot of other on-line and mail-order dealers will sell you a Leupold Vari-X II, 2x7, for about $240. It's plenty of 'scope. Check ads in the gun rags (it's all they're good for anyway.) The Vari-X II is a 'second line' Leupold, which means it's only about three times as good as any other domestic or Far East import. They mean their guarantee.
Careful shopping will bring you in right around $800 for a rig like the above.
The factory triggers on all new rifles now suck. You must monkey with them and void the warranty (big deal) to get a good shooting rifle. Just one of the things we have to deal with in this litigious age. Check
www.snipercountry.com for instructions on how to adjust trigger pulls on these rifles.
I'd advise a .223 for economy, a .308 for the most smash for the cash.
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The wise man said "This cannot be done." The fool came and did it.