I have shot the Lapua at 2,000 Meters / 2,200 yards and can say your goal using a 300-grain Sierra Match King will be very difficult to meet at sea level under standard meteorological conditions. I've used Berger and Lapua 300-grainers with marginally better success, albeit at 4,500 - 6,000 feet above Mean Sea Level.
I believe General Dynamics - Saint Marks developed a duplex powder to address your goal. I'm not sure whether or not Explosia in Czech carries an equivalent.
Thank you for your comments. Would like to give you and better answer, however, right now we are operating under a very heavy workload
Our advanced 300 gr projectile surpasses the Sierra # 9300 Match King significantly. We will need to bring it into production finally, and only then we will be able to publish Data
The lynch pin continues to be a 2,000 yard powder which i our 1st focus but not fully in our control . St Marks and Explosia are both very good, technically capable companies and we invite any 2,000 powder from them or anyone else on the Frontier of powder development . If anyone knows any different, any information whatsoever (even a crumb), would be greatly appreciated