Best to leave it settling in without handling for 4-5 days minimum - a week is better if you can bear the suspense! It's just had an upsetting journey and is now in a strange place with lots of new strange smells and noises/vibrations. It really needs some alone time without having to deal with the additional stress of handling.
I very rarely see my Corns drink, so don't let that bother you. As long as there is always a bowl of clean water in the tank, then you're doing your job.
Congrats on the new arrival!