No do some boulders, best training for your hole body and you don't even feel it (mainly because you don't want to fall down), BUT start slow and easy for the first 3 month, your ligaments need much MUCH longer to grow strong than your muscles.
Not a silly question, you just make routes where your body-weight is 80% on your feet (but that's always the goal), warmup your hands before 5min under really warm water. If it still hurts too much stabilize your hands looks like that:
This is the first time i have heard about stabilising the hands. I can't make the connection, what would that do if you have CTS? if the muscle starts swelling it will compress the nerve and the nerve is already compressed due to the bone structure.
Gyroscopes are just straight up torture devices for me, as in, 10 seconds and i am out ;)
1. Supplementing helped me with grip. Specifically D3 and magnesium supplements.
2. Practice hanging from a pull-up bar. Calisthenics routines often include "passive and active hangs" and doing these for long holds is a good grip trainer.