The next time you’re at the range, experiment with your grip. I like to hit shots while I hover my right thumb above the grip. I find that this forces me to swing more with control and to use the bigger muscles of my shoulders, arms, and trunk to control the club, not the small muscles in my wrists and fingers.
You may want to try strengthening your grip. Or weakening it. Try gripping the club more in your fingers or try putting it further back into your palms (my grip tends to work out towards my fingertips sometimes, but that’s rare – most people grip too much in their palms).
Try swinging a club with only your left hand. Switching from an overlap to an interlocking (or vice versa). Jim Furyk uses a double-overlap grip, after all.
Play around with your grip, making minor swing changes you feel necessary. Don’t spend too much time practicing grips that don’t pay off or that feel too awkward, because practice makes permanent. And nobody wants a permanent grip that doesn’t work.