A 300 WIn Mag? You must enjoy recoil.
We shoot on Stickledown twice a year, for two days in April and two days in September, 12 hours of shooting each time. ('We' being Teesside Rifle & Pistol Club, of which I have the dubious honour of being Secretary.
http://www.teessideshooters.org.uk) We shoot there for fun, not competing in anything. Our members use everything from a Winchester M70V .243 Win (badly affected by wind), Sako 75 Varmint in 6.5x55, .303 No 4s, 7.62 Parker-Hale 1200TX, Sako TRG in .308, Dragunov (uses same bullets as .303 No 4), and much else.
The most accurate rifles are without doubt two custom rifles built by Dave Folwell both chambered for 6.5x47 Lapua, an astonishingly accurate cartridge. Not big heavy guns but nonetheless, low recoil. But these rifles would shoot well regardless of the cartridge choice. Then there are the scoped TRGs and AIs. But not to forget the bog standard iron sighted Parker-Hale 1200TX which, in still air, shoots to 1.5 MOA at 1,000 yards Due to the gun's weight, recoil is acceptable even by smaller shooters. The load is nothing fancy: 168gr Hornady BTHP #30501 at an estimated 2700fps.
The point is this. You don't need a powder-gobblin' barrel-wearin' hard-kickin' sooper magnum to shoot accurately at 1,000 yards, even with side winds. Nor do you need an expensive custom rifle. But you do need something more than a 223.
-JMS