(Spoilers Main) Who would Arya marry?

If everything hadn't gone wrong, then who would Arya have married when she grew older? While it's pretty evident that Sansa was going to marry into a southern family down south (the royal family), but what about Arya. What plans would Ned have had for her?

Let's get one thing clear, there was no way in hell Ned would marry Arya off to a southern house below the Neck. I can't see that happening in a million years. She's practically his favorite in all but name. So, with that said, I honestly could actually see him agreeing to marry her to one of the Mountain Clans. Either the most powerful of the clans (the Wulls), or the Flints due to the family connection through Ned's grandmother. It would make perfect sense not only is she still in the North, but it also fits her temperament. Of course, everyone in the seven kingdoms (Catelyn especially) would he he'd lost his mind, but they wouldn't really be able to do anything about it. Plus, he'd already have Robb and Sansa to forge powerful alliances with Great Houses. He doesn't really need Arya for that.

What do y'all think?

(Edit: What if he considered marrying her to Jojen Reed? Not only because it would fit her personality, but also because of his friendship to Howland Reed. How hilarious would that be?)