but making it such that the woman herself appears to be shaitel-less, seems to involve several issues: maaris ayin
Rav Moshe holds there’s no maris ayin. The Maharil Diskin holds there is.
and the inability to distinguish one’s self as a married woman
While I agree that it’s a bad idea for this reason (Hamodia had a humorous fictional piece in the Succos Stories supplement about a married lady who was set up on a shidduch meeting by someone who thought she was single because of her lace shaitel), do you have a source which would make it actually assur?
and I’m sure there’s more.
Please share, because I haven’t yet heard a compelling reason to think it’s actually assur l’chol hadeios.