Its funny how much different vertical route finding is over orienting yourself on less steep ground. I've never been lost in the backcountry, but I'm amazed how many times I get turned around when climbing with friends on vertical rock, and feel really lucky to have climbed with people with a knack for vertical route finding.
Having climbed both (chestbeat, er grovelled up after Hansel on them both), I think you definitely want to head right much further at the top the first pitch of the S-B route (if that is what you did) to get on the Becky route. All the way over to the top of that chimney. If you look up that chimney you avoided at the base, you pretty much to up that, veering only very slightly left before traversing right after couple pitches up to gain the nice crack system that takes you to the notch.