Shine on, you crazy diamond
There are a number of ways you can mount the EL wire; using cable ties, sticky tape or even using a hot glue gun.
To preserve the integrity of my pride and joy of a pc, I will be using clear sticky tape to route the wire as it's not that visible unless you are looking closely at it.
As you can see here, it's easy and flexible enough to route around anything, including the motherboard, the graphics card and the case window itself.
For a finale; here's some props to the TweakTown crew!