Great advice above.

I have not suffered from it but have treated it.

I would suggest splinting at night is an excellent suggestion - see a pharmacy for splint/advice and an appointment with a good physiotherapist or really good massage therapist.

generally speaking CT pain is caused by a swelling at the wrist joint (due to fluid retention in pregnancy). The swelling irritates the nerves which pass through a small area in the wrist resulting in pain in the area where the nerves innervate and referring up the arm in some cases.

Therefore, if you can find someone to do some soft tissue work to
  1. move the fluid
  2. reduce the tension in your arm muscles
  3. free up the wrist joint

you should get a bit of pain relief.

BTW I know it is really hard to sort through the health therapists to find the right one, especially in massage. A physio is certainly good and by 'really good massage therapist' I mean someone who has a good knowledge of this type of soft tissue treatment. Generally a remedial or sports massage therapist is what you are looking for rather than a relaxation massage therapist. Alternatively, people who specialise in lymphatic drainage massage would be good as the lymphatic system is responsible for draining the fluid which accumulates in your extremities, but they can be hard to find.

You should not need to worry about finding someone with a special pregnancy table as you should not have to lie down on your belly for a CT treatment.