Viht N150 is the obvious, and very good, choice. You will struggle with the 175gn SMK and a 24-inch barrel at 1,000 yards though. (Been there and got that very frustrating T-shirt many years ago!) You can just get away with it ballistically, if your rifle allows really heavy loads. (Note though, that really heavy loads quickly kill standard large primer brass, and if loaded up high enough, N150 kills barrels very quickly too.) The average G7 BC for the 0.308 175gn SMK is 0.243 (Litz: Performance of Rifle Bullets). Under standard ballistics conditions (59-deg F / 29.9 inches mercury pressure) 2,650 fps MV which is respectable for this combination, sees 1,117fps retained velocity at 1,000 yards - ie below the speed of sound. In practice, you want to be comfortably above the speed of sound and the worst of the turbulent transsonic speed zone at the target - the US Army identified 1,225 fps retained velocity as key a long time ago with 30-cal tangent ogive bullets and that measure is still an excellent one today. The 175 SMK needs an MV of just over 2,820 fps to achieve that. It's an excellent bullet, but high-drag / low-BC by today's standards.
The problem you face with a 2,600 odd fps MV and this bullet is that with MV variations, some bullets are barely supersonic at 1,000 and others have just dropped through the barrier into subsonic flight. This variability usually sees poor results. In my rifle's case, 800 yard results were excellent, 900 saw a large performance drop, and 1,000 was very poor. This is in line with what US military users say of the M118LR sniper round that uses this bullet. The US Army says its rifle and this cartridge are great at 1,000; the US Marines - who take rifle marksmanship very seriously indeed - report more honestly that performance falls off a cliff beyond 800 metres. The M118LR has a nominal MV of 2,580 fps and that needs a stiff load in the standard M24 barrel.
In my case, the proper answer was to spend the money on a proper long-range 308 rifle; the short-term solution was to fire the affordable and old-fashioned, but very effective, 190gn SMK over a stiff load of Viht N550. (You can also use N150 with this bullet, but as I said, very heavy N150 loads are not nearly as easy on barrels as most people believe.) The 190 SMK is a superb performer in transsonic and trans sound barrier conditions and was a favourite of Match Rifle shooters (1,000, 1,100, and 1,200 yard stages with 308 Win rifles) before today's heavy VLD and Hybrid form bullets appeared.