Have you ever tried panning? This is a photography style where you slow your shutter speed right down, keep the aircraft in the same point in the frame as it passes. This blurs the background but keeps the aircraft in focus! 

This was shot at 1/30th sec https://t.co/Y8TEtgeVfk https://pbs.twimg.com/media/GPY4HNQXUAA7eBB.jpg