I had the same issue when I started with the TS. It's just a handful of handgun. Two suggestions that worked for me, slimer grips get more of your hands around the frame, and try a lighter recoil spring.
Last, coming from a B class USPSA shooter, don't think of any practice as attempting controlled pairs or rapid fire. Each shot, no matter the speed, is individually taken. If you've got the control elements dialed in it looks fast. But, in reality, there's a lot of hard work going into maintaining the control. Bill drills (draw and six shots on target) is focused on getting a consistent grip and tracking the front sight as it bounces in recoil.
I'm more impressed with guys that hit all alphas pretty quick than by guys that are really quick without the points.