Firstly, go see a doctor before following any advice on here - you might be hurting yourself unduly.
But here's my piece.......
Like most people here, we have newly acquired, or are....pardon the pun...'old hands' (!) at CTS.
Try sleeping on your back with your hands on your chest as if you're laid out in a morgue - it is a totally unatural way to sleep, but it can slow down the bloodflow to the wrist/hand area, and potentially reduce the pain and tingling.
Equally, while sleeping on your (right)side - tuck your (right) hand up underneath your pillows i.e. lay on it. And tuck you (left) hand up by the side of your face, or under the pillow with your (right) hand.
This is the same principle as keeping your hands raised.
(I've not tried the following myself) - the use of medically approved 'splints'. I did read somewhere that the best thing fro CTS sufferers is to try to get your wrist(s) in a situation where they are not bent....which , of course, is almost anytime of the day - which is why they sometimes advise to wear splints at night.
Get medical advice first.
I hope this helps.