How about a 2 level dip into Ninja and then Buffer/Debuffer Bard the rest of the way?
Even with only a 2 level dip you're looking at 1+Cha mod uses per day, which isn't that bad if you're pumping Charisma for Bard stuff.
Perhaps a Drunken Master Monk since they can get temp Ki from drinking alcohol? It would be a 3 level dip though.
If that's a way you want to go and you want, there's the Accelerated Drinker that makes drinking an alcoholic beverage a move action instead of the normal standard action (as long as it's in your hand). With this, you could use a move action to get your temp ki, swift action to koan, and still have a standard left over. However, you'd have to get DM ok with with as it says potion specifically and not just any old beverage. Don't see why you couldn't pour some ale into potion vials though.
Also, if interested and somehow you have the massive CON to do it there's the Fast Drinker feat which makes drinking alcohol for the temp ki a swift action.
This link: Here ...shows what archetypes can be mixed with what.
As far as straight monk or dip, it's common around the threads that monk tends to be a weak full class generally speaking. If they are to be believed, then I'd probably only dip for monk for about 4 levels (enough for you to get the full ki pool and the drunken ki).
Then you can move into things that perhaps make you insane at bluff checks since that's what the Bewildering Koan focuses on and you want to hit that as much as you can when you choose to use it. For that, Bards are generally said to be powerful in terms of face skills among other skills, but I'd personally probably suggest moving into the Inquisitor with the Conversion Inquisition. This would allow you to keep use of your Wisdom score, making it so you don't have to spread yourself ultra thin stat wise. Well... at least more than needed. They're also considered to be really solid options in terms of fighting.
If, however, you're more focused on a support character, you could go the scarred witch doctor (witch archetype) which allows you to use your Con for your spell stat. The very same stat that needs to be high in order to use that Fast Drinker feat of yours. Still would need to work towards making your Bluff awesome, but you'd have spells and hexes along with the possibility to use your fists in a fight (weak as the option may be due to possible stat allocation).
I haven't really played a bard, so perhaps they're skilled enough in battle that they'd be the best choice. Others would probably be more knowledgeable than I am when it comes to bards and characters based on Bluff though.
There is this Document ... another user made that shows how each stat can be switched for other skills. Looking at it myself, it seems the inquisitor with the conversion inquisition is the only real way. Then again, it's entirely possible the user could have missed something.
I made a build for a Ninja/bard with bewildering Koan once but never got to play it.
It can be found in this thread: Enigmatic Sage
it sounds like you're headed in a direction that wouldn't require it anyways, but just a friendly reminder:
feats can only be taken once unless they specifically state otherwise. racial heritage does not have that "special: this feat may be taken more than once..." line, so you can't use it to get access to more than one extra race's goodies.