"I'm senior level and I'm looking go into principal level and that's two levels above me but doable with the right amount of finesse. In some cases, I've even targeted director level, but the chances for a hit are lower."

From the OP, that sounds like this job was a few notches upward for you so landing a director job would be a huge boon for you based on that info. And to be honest, that's probably why they wanted to see you perform the job duties first. So given the op to move up a couple of levels, I would have suggested you accept it with negotiated terms.

But I do understand not wanting the added scrutiny when starting something new. Ultimately, you gotta do what's best for you. But keep hunting bro, you'll find what you want.