IDK anyone with a n3ds xl, so Ima just buy one, if they are only 15$ im not worried about it.I'm having the same problem as you are having. However my daughter board and charge ic are both fine. So if you can borrow a daughter board to test would be best, cause it might not be what you need.
Does anybody know where the power ic is located? And where there power runs from the battery so I can check with multimeter?