Bedrockgames
I post in the voice of Christopher Walken
Monk should be Pugilist. Which specifically is about unarmed combat.
Fighter is too generic for that.
I think the problem with this is there really isn't a lot of media sources where boxers are fighting side by side with guys with swords. And I say this as someone who has done boxing. Monks on the other hand come from the kung fu, wuxia and other martial arts genres where there is a long line of media sources (including very established novels) where they are a type of character that can stand toe to toe with swords and bows.