Simply reject receiving the package and you won't be charge for any thing at all. When the shipping guy come to deliver it, tell him "I refuse taking it". They will return it for free and return the money into your account in a 2 - 10 days. Someone who works at UPS told me this method and I tried it, works 100%.
If no signature is required, then go to the office (if UPS) and tell them that you are expecting a package and you want to reject it. You can also ask them about your situation to double check if that would work with you.
All the best,