It doesn't seem like you'd need "shenanigans" for this. Lots of voice actors are capable of doing voices that sound like other people, and some even have a natural voice that happens to sound very similar to a particular more noteworthy celebrity. AFAIU, the rights to your likeness only apply to your likeness, not to the likeness of someone else who happens to look or sound a lot like you.

For a case that doesn't involve AI at all, consider situations where a voice actor in a cartoon is replaced (sometimes while still alive) by someone who can perform a voice that sounds the same. Decisively not illegal. Most people don't even find it immoral, as long as the reason for getting rid of the original voice actor wasn't wrong on its own (e.g. Roiland).