I had the exact same urge. Fortunately (?) it appears one of my install disks is damaged, so no D2 for me.
Actually, they have or are going to have a new service on their servers where all you need is the registration code and you can download the software from there and play without needing the disks. They're going to be doing this for all their older games IIRC.
Besides it could be worse. I literally had my D2:LoD disk explode in my computer's CD-rom drive. That was a mess picking out the pieces.