What about running jedi more like clans of Samurai? They have a Daimyo like individual who the republic senate of planetary governments can petition for help.
IMO this could be an interesting alternate universe, but there's no precedent in the OT (at least that I'm familiar with) that would make the this mesh well.
Maybe it's just from the analogy you've chosen: Based on my understanding, Daimyo were land-holding vassals of the Shogun, and, since they held land, they could not have been samurai (at least after Toyotomi's reformation at the end of the 16th century... I think. My Japanese history is rusty). To make your analogy work, the "Jedi Daimyo" wouldn't be actually be Jedi, which just seems weird.
But maybe I'm reading into it too much. I don't think Samurai really organised themselves in clans, I don't feel like Jedi would either. This sounds more a like a Mandalorian social structure.
Edited by LethalDose