Very little will move a PC toward law. As a hint, some of the missions Haniah gives in Chapter 1 can move a PC slightly toward law when completed the right way. I don't recall if anything else will. If you need more detail, post the question in the SoU forum becasue being more specific here would violate the no-spoilers policy.
Honestly, if you need to move an SoU PC toward lawful for some game mechanics reason (e.g. taking levels in an alignment-restricted class), then you are probably best off using Leto or dropping a script into your override and running it from the console. I don't think that any alignment adjustment built into the module will do enough to make a difference.