When are you supposed to close the account? When it successfully shipped out?
I would just recommend ordering, write down the order number and all info needed for the order (also for the account if you want).
Then go to the order list, archive that order and if you want close the account.
Keep in mind, closing the account won't do much as they can reopen it. I did ask the Amazon staff about it, they said if you provide the information proving it's you they will reopen it as if nothing happen.
If you have email access for the acc, just delete amazon email if not keep it archived and track it with the order number and tracking.
Also try to use a VPN near their area