Tiaral

There is no knightly order that would set such goals for itself.

Let me put it this way: when the Hospitallers left Palestine, they set exactly that goal for themselves (and as a result of their wanderings, they became the Order of Malta).
Of course, this led to constant conflicts with the Turks, and the order needed external patrons because of this, but... let's be honest, we won't be able to develop our activities without getting into conflicts with someone, no matter what our goals are. And we will have to look for patrons, yes. The only question is how flexible our relationship with our patrons will be – and it would be good to build it in a way similar to Andorra, which cleverly maneuvered between Spain and France, remaining independent of both countries.
In general, it only depends on us.