Xeviat
Dungeon Mistress, she/her
The entire "philosophy" of monks that do not need strength is for me silly.....
I think there would be room tweak the monk, possibly with an alternate 1st level class feature. We all know examples of martial artists in the real world. They're definitely "stronger" than the typical person, but they're also not a weight lifting olympian. There's something about their speed strength over their applied strength.
But, if you wanted to model them with Strength or Dex, you could make a 1st level option that lets them choose between 10+Dex+Wis for AC and instead pick 13+Wis AC. This could represent a more blocking style.
I'd rather model a strength unarmed martial artist on the Fighter, though. Just looking to genres, there are those martial artists who go unarmored and then there are those warriors who wear armor.