User blog:Rainb0wSprinklz/Problems with the final confrontation between Granny Rags and Slackjaw

I am playing a no-kill, undetected playthrough.I am at the part where Granny Rags and Slackjaw are at their final confrontation, yet I am finding it impossible to achieve my desired playthrough because of this part. Rendering Granny Rags unconcious through choking her out or a sleepdart apparently adds a hidden kill to your score. Pickpocketing her adds an automatic detection. I also can't help Granny Rags because then I would  need to kill Slackjaw. I have read that to achieve a no-kill, no detection walkthrough I would need to restart my game and avoid Granny Rags as much as possible. I don't like this option because I have spent many tedious hours playing with complete stealth. Basically, what I am asking is if there is anyway to complete the final confrontation without being detecting or killing.