I will be careful though and refer to the your counsel on this matter. I am also a customer and with their terms of service it makes it a little ambiguous what happens when you decline shipment. This is the part that worries me:
Time and time again the "Terms of Service" have been struck down in the court of law due to conflicting with law. Terms of Service does not nullify your rights.
And the FTC has been VERY specific about this. The FTC is also VERY specific about the rules of refunds. FTC rules state specifically that if a customer requests a cancellation of his order BEFORE shipment, then the seller is REQUIRED to give a 100% full refund. There are NO IF's, AND's, or BUT's about it.
When it comes to BA, I do not know since they are not located in the United States.