Airspirit:
I have been in this situation lots of times with my customers. Luckly for them, however, they did not have Samsung HDDs......
In this situation, I setup the dying HDD on its own IDE channel and setup the replacement HDD on another channel. Then I use Norton Ghost with the "ignore CRC errors" and "clone all" options checked. When it is all done cloning the HDD, you will have almost every piece of USEABLE data you can get off that HDD.
BTW If the drive has problems spinning up or reading correctly, one technique that you can try is giving the HDD a good couple "wacks" against a table. It HAS worked in the past with me but this technique offeres NO guaranties and should ONLY be used on a drive that will die anyways and you must have the data off of it.
NOTE: This is another good example why you should NEVER buy/use Samsung HDDs, ESPECIALLY in server applications; they will fail.