There's alot of tweaking that can be done to some guns. Polishing lock parts, installing a single set trigger, better sight picture, even taking the barrel off and turning it round for the forward 2/3 of the barrel (takes an oz or two off to help with balance. Even more drastic cutting an inch off the barrel. Does your kentucky have a bridle and fly in the lock? Could be that your fly is sticking to make it go at half cock, or worse the lock is worn. Possibly just a sear screw adjustment.
Then there are shooter issues to address. Stance, hold, follow through, heart rate, arm strength, shoulder strength. Some steps can be taken to avoid muscle fatigue which throws accuracy way off. A more accurate pistol will do no good if you can't supply the rest. Some international pistol competitors take a few years to develop their grip, which needs to be firm but not overly tight. Tightness contributes to hand fatigue and shaking.
A traditional plow handle style pistol is not the easiest pistol to hold from an ergonomic standpoint. Gripping it in a way that you can hold steady and slowly squeeze the trigger becomes more difficult with front heavy barrel and a heavy trigger pull like many such production pistols have.
I've never had the opportunity to handle a Crokett pistol, but they look like they could be the foundation of a first rate target gun. Unfortunately, traditions puts it's cheapest crappiest lock on it. It takes alot of work to tune such a lock Then getting the sear and trigger just right is another trick.
