There are a lot of dramas about revenge but I'm specifically looking for dramas where the FL takes revenge without outright fighting. Maybe she's physically weak and acts innocent but uses cunning methods to take her revenge. Does anyone have any recommendations? 

You've probably already seen this, but a favorite drama of mine that's about revenge is The Glory. The FL was bullied throughout high school, and dedicates her life to getting revenge on them. It's probably a little more on the "thriller" side than you're looking for, but I'm typically not into this type of genre, and I loved it.

Another drama that has revenge is Revenge Note (Season 2) - This one, the FL doesn't really act herself to get revenge, but the phone does it for her? Kind of confusing. But it's good, and the people that hurt her get what's coming for them. There is also a first season to this. But you don't need to watch the first season to understand the second.