Hey Red,
I've been building bows long enough that I approach a stave with a lot more confidence than I used to--BUT--I tillered two bows over Christmas that twisted badly on me. One was a case of a flaw in the stave, the other was an easily-remedied string alignment issue. Point is, it happens. It happens for a lot of different reasons and sometimes it just isn't the bowyer's fault.
If the braced bow reveals a string alignment problem, you're going to need to fix it before you keep going. If it were me, I would steam the handle (about 10 inches of it) and overcorrect it slightly. Let it dry 24 hours and check it and repeat if necessary. I have one snakebow with perfect alignment that I steamed 5 or 6 times before I got it right (some of us just need more time to get it right).
If your billets come apart, reglue in such a way as to correct the alignment.
J. D.