I don’t get the frame problem; many mirrors are framed, and lots of them used to check stuff like hair styling etc. My bathroom mirror gets too fogged up to check after a shower, and it’s always good to once over yourself.

Not trying to shill for Amazon but as an example https://www.amazon.com/framed-wall-mirrors/s?k=framed+wall+mirrors

Of course you might just mean the framing as in composition.