How would Yasuo clear his name anyways?

So Yasuo's quotes pretty much implies he knows Riven was the one who killed the Elder while he was gone (unless other wind technique users were part of the Noxian invasion...)

But what now?

How would he apprehend Riven and bring her into custody when he himself is a wanted criminal, especially after he's killed people who's been pursuing him.

Even if you could drag riven into a court of law willing to listen, how do you get her to prove she was the killer? Get Noxus to sell her out and say yes she was present in the area? I dunno about you but giving riven her sword back and letting her demonstrate to the court that there is indeed another wind technique user doesn't seem like a good idea.

And at the end of the day, Yasuo still abandoned the elder and let him die. I don't feel like they'd let that slide.

So...as far as I can tell, Yasuo's quest for revenge/redemption is kind of dead as soon as it began.

Am I over thinking this? I'm probably over thinking this.