You can download the game, but beware, it takes a very long time, and isn't my favorite method of use.
Alternatively, you can get yourself onto a network with someone who -does- have World of Warcraft on their computer, and copy their C:/Program Files/WoW folder onto your hard drive, in its entirety. The game does not store any files anywhere else, and does not alter registry values during install, so it is a very VERY portable set of code.
If you can't get on a network to transfer, consider using an external hard drive to transfer the folder, in its entirety, from your friend's computer to yours.
If your CD drive isn't working, grab a pal who does play (or make friends with one) and borrow their folder. It's complete, legal, and doable.
Once you have WoW on your computer, you'll need to set up an account for yourself, so you will still need to have a set of CDs to get the Key, or buy a Key online via Digital Download.
Best of luck to you.