How to Make a Bow-Kata Monk/Fighter?

[SociopathFriend]

There's nothing wrong with Fighter/Monk multiclass so you don't worry too much if that is your goal.

But just a note you don't need Battlemaster to disarm someone. Anything that you want to attempt that is not in the rules is simply up to the DM deciding how hard it is and consequently what rolls you need to make to succeed at it. And it's worth noting that the optional DMG rules for Disarm already allow for ranged disarm. So simply talk to the DM and see whether they want to use the DMG rules for Disarm and if not what the alternative rules would be.

My DM would almost certainly file that under "called shots" and imposes a fairly hefty penalty to trying it (IIRC it's disadvantage and also a negative number to the roll).
It's one reason Battlemaster is fairly important as it's exempt from that rule.

I tread back and forth on that ruling- I do not like the idea of called shots to begin with but if they are in the game then I do expect them to be rather hard.