You left out a lot of information like the specific cartridge, case capacity, air density, and seating depth. However Quickload indiacates that in a 6.5x284 Norma case with a cartridge OAL of 3.228" (default), 56.8 grains of VV N560 will give a pressure of 59421 psi with a 94.7% case fill and a muzzle velocity of 3067fps. Quicktarget shows that to give a velocity of 1752 fps at 1000 yards in standard ICAO conditions (sea level).
If that is close to your setup then I'd say your goal of 1600 fps@1000 is easily doable using a lighter charge. The powder choice was just my first guess at something reasonable . It's not a recommened load, just a computer simulation to anwer your "what if".