Alright, I don't think I'm understanding all of this, but I'm going to do my best.
First and foremost, the Nintendo Wii is an excellent piece of technology and the number of problems that are it's hardware suffers are few and far between. And even when they do, Nintendo is known for having some of the best customer support out there. You have VERY LITTLE to worry about.
The overheating issue is not when the wii is on, it is when it is in standby mode. When the wii is on, so are its fans. However, when the wii is running in standby mode its fans turn off, and this is where you may have a SLIGHT chance of your wii overheating. If you are that worried about it you can buy a wii cooling system *that stays on while the wii is in standby mode* or you can simply turn standby mode off under your wii settings.