I "suffer" also from a Carpal Tunnel Syndrome - but i also suffer from chronical arthritis for more then 10 years...
You could visit a Physiotherapist (or Ergotherapist), they are normally quit good and can suggest special trainigns that you can do at home.
I once heard that "squeezing" this little anger-balls should help. ;)
But when you face to many problems with your Carpal Tunnel Syndrome there is only one way: surgery.
I wish you all the best & good luck!