Click........I hate to say it....but I guess I will.
What you just described is exactly the WORST way to shoot if you want long range accuracy.
Stop squeezing the trigger altogether........pull thru the shot with your back muscles. The reason you get " better" accuracy when you shoot quick is Target Panic.
Back Tension, Back Tension, Back Tension...........Trust me on this one, or you will have bad shooting habits for life.
Say it with me.........
I WILL NOT PUNCH OR SQUEEZE THE TRIGGER.