Carpal tunnel is my first thought too.

There are braces to wear at night to keep pressure off the nerves in the wrist. Do you use tools, or have an activity which stresses the hands? Like the guitar?

Secondly, this could be a signal of your blood sugar dropping during the night. Low blood sugars can cause nerves to misfire.
So you need to look at that too. Having a small protein snack before bedtime may help. Smaller dinners, and then a snack later can keep the blood sugars more level.

Also too much salt or MSG in your diet can do this.