You know. Not to discourage you from changing the fluff from stuff, but just to play a little devil's advocate...
Just because your campaign world does not have a place that is clearly Fantasy Asia, does not mean that you can't have Eastern flavor. You simply tuck the various flavors into different places, so the flavor fits your campaign.
Let me give you a Western example. Vampires (at least 3rd edition vampires) turn into bats and mist, they call creatures of the might, they dominate with their gaze. That is very much the Dracula style of vampire. If your campaign does not have a Transylvania equivalent place, or even an Eastern European place, it doesn't mean you have to rip out the vampire.
Let's say your campaign has a place where warriors are held in a high regard (i.e. a social class second to the nobility, and treated as quasi-nobles themselves). They put a firm emphasis on law, proper behavior, hold discipline and honor as a very high trait. Sounds like Dwarven clans, doesn't it? It also sounds like Samurai. So Samurai could come from dwarves. (Incidentally, there is a way to easily flavor Samurai to work with Elves, but you get the idea).
Similarly, you don't have to do much to the monk to change it, even if it didn't come from a fantasy Asia. All you have to do is say, "Monks are the nomadic priests of Religion X. They practice severe ascetisim (resulting in their poverty). Due to the nature of their God, the divine magic is not cast outwards (with spells), but instead cast inwards. This way, the monk can go around the land righting wrongs, and is durable enough to withstand the trials they will face, in the name of their God."
Or, the monk could have originated from a desert or very cold region; again, nomadic and ascetic, and their body has been hardened to deal with the harsh environment of their homeland. Thus, their magic is built around survival (why they have awesome saves, can heal, withstand falls, etc). Or the Monk could be a tribal thing; men emulating the animals they hunt and live with, believing that if you cannot catch and kill it with your bare hands, you do not deserve to eat (this explains their mobility, lack of armor, and offensive capacity). The monk's powers, then, are shamanistic powers.