Staples/paperclip are usually not made of copper or are cladded with non-copper material, so the solder won't really get into contact with and it'll hardly hold properly. Of course, if your staples/clips have a coppery colour, you can try - but try far away from the Wii first. It'll get scared to death if you fail to apply solder to the "wire" and look for a FW update on the internet to brick itself.
But I like the solution zosh proposed, but would like to modify it slightly: also use the pneumatic nail gun to attach your chip to the DVD board! That way it'll hold perfectly when drilling the holes. There you go, a perfect installation within minutes. Even better: you'll be able to hang your Wii on the wall like a picture frame! Perfect solution in case you don't have much space near the TV. Like I placed it in the left back corner of the aquarium, which is next to my TV. Problem just was finding a nail strong enough to replace the constantly popping fuse in the houses fuse box. And the dead fish are starting to smell.
@Wanque: I'm pretty sure he used the wrong brand of nail gun. Some really have quality issues...