I've found that the combination of land work (amateur/hobbyist) and computer work (professional) can wreak havoc on the hands and wrists.
Don't forget the muscles that open/unclench your fingers and the ones that pull the wrist back away from the grip - usually when I have wrist pain I can do some light wrist reverse curls, with a small dumbell or other weight, and this helps the wrist greatly.
Even if you look like those muscles are heavy duty on your arm, you can probably use a bit more concentrated strength there to balance - if when you stand with your arms relaxed at your sides, if your wrists automatically curl in a bit you're probably out of balance.
Basically put your arm, palm down, across a bench or counter so that the forearm is supported; grasp a weight in the hand, gently lower your wrist down with gravity, pull back up - only flexing the wrist. Repeat. Make sure you use a light weight, I'm serious, most of us other don't use these muscles much.