Switch between internal screen and default output for portable wii

I'm fairly new to console modding and electrical work in general and I was wondering if there is a way to set up a switch to flip between a screen that's been hardwired to the console and the default av output port on the Wii. My idea is to make a Wii that can be played on the go or connected to a tv. I intend to leave in or substitute many of the ports on the Wii. I would like to know if a switch like this is possible, if not, would there be any sort of alternative to achieve the same goal?
 
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