We can transfer / copy Amazon S3 bucket with GB of data to EC2 machine and then transfer the data to the dedicated server.
We need Amazon S3 details:
Access Key: ?
Secret Key: ?
We need Web Server details:
One option would be to run an Amazon EC2 machine, install CloudBerry Explorer onto it and start the copy process. the data will go through EC2 of course, but since it is in the same data center with S3 it will be fast and efficient.