If you feel like you are "bowling" it is just the way you are drawing. I was taught as a wee copper to draw and immediately rotate the gun into a forward facing firing grip. Think of Roy Rogers, from there punch the gun out towards the target, but do it as one smooth move. Drawing in that manner means that if the BG is on top of you or at 100 yards its the same draw stroke everytime and you are less likely to shoot the dirt in front of you because you are oriented on the target the whole time.
My rifle and pistol are tools, I am the weapon.