"Mudd's Women" is a good story, but it's an odd one for Trek. It's a straightforward repurposing of a trope from genre Westerns, the mail-order bride story. As is crucial in those, it turns on the eventual assertion of some agency on the part of the lead female character, although within a limited sphere of reference.
Any contemporary version of such stories would necessarily result in the character asserting full independence from the expectation that she choose a husband, at all.
So, you could tell the story now, but it would wind up on a show with Trek's built-in limits as just another flavor of rote.
The only other TOS story I remember that borrowed so wholly and unapologetically from another genre was the Romulan submarine episode.