Honestly, I could very easily see a two-deck system setup like GoT, with a main deck involving Personalities, Holdings, Attachments, and Strategies (or whatever you want to call them), and the other having "Provinces", or contested areas of Rokugan your Clan is trying to gain control of, with some sort of way to determine whoever gets X Provinces or Provinces with X value first being the winner.
I could see Personalities with four stats - Force (military strength), Chi (spiritual strength), Honor, and Glory (political strength) and probably no loaded keywords (you can handle most of those effects through an ability on the card), just basic stuff like Samurai (I know they are all samurai but honestly just for marketing if you have a samurai game you want to have cards on them that say samurai), Courtier, Shugenja, Shadowlands, Unique, and maybe some really flavorful ones like Ninja, Monk, Daimyo, or Ronin purely for card interaction purposes.
Perhaps the aforementioned Provinces have 3 sets of 'Province strength', Military, Spiritual, and Political, all with different values, and you try to contest those Provinces and claim them by attacking one of those types of values with your people, representing how your Clan tries to gain control of the area and its populace.
There could even be a mechanic for each of the Five Rings not unlike the Small Council, where you choose one of the Elemental Paths and try to achieve something in order to 'gain enlightenment' in that path, and you win an "enlightenment" victory bu achieving all five Ring Paths during the course of a game.
Just a quick couple of thoughts, with plenty of room to flesh out and develop, but I could see a basic framework with something like that in there.