Robert,
You sound a lot like me, I notice when I think in terms of "fast" and "slow" both my times and my points suffer. I view the "speed/accuracy tradeoff" as a false dichotomy; if I'm willing to trade hits for speed I get neither. My best performances are when I merely focus on executing my plan and exploding between shooting positions. It's pretty obvious you can shoot so I wouldn't mess with that if I were you, rather think about your movement: is the gun up and in position when you see the targets? do you start moving as soon as the bullet leaves the barrel? I got such a great education squadding with a local GM, he didn't have machine gun splits, nor did he even look rushed, just smooth, efficient and moved without a single wasted step. He was shooting as he entered the shooting area, and shooting on his way out; he rarely stopped moving.