I use a method I don't think anyone's mentioned--it's a good technique for buying a little time, and when I have time, I am able to calm down and think properly.
When the hand is looming too close for you to think properly, lure it to the opposite end of the room, the furthest spot from where you need to place the sol, then wait for it's shadow to catch up to you. When it's shadow is right above your head and starts shaking, that means it is about to come down. At that time you may run back to the spot where the sol should be placed. The hand will be busy coming down on an empty spot on the other end of the room, and following that will have to recover and redirect itself accordingly. This will give you the moments you need to catch your bearings, figure out what you need to do, and move forward accordingly.
Furthermore, you can rinse and repeat this is many times as you need to buy as much time as you need to make sure you proceed the way you need to.
Also as mentioned, the clawshot is quite useful. If the hand is leaving with the sol, you can clawshot it back. You could even time it so that you clawshot it back right when it is at the other end of the room about to leave, so that when it turns around towards you it has a longer distance to cover, again buying you more time.
Side note: anyone think the hands are TP's callback to wallmasters?