The following solution will give you 5 achievements (Ghost, Shadow, Clean Hands, Just Dark Enough and Mostly Flesh and Steel) worth 260 GS. During the playthrough you will get some other achievements as well but you will find out when doing so.
During my second playthrough I made a huge mistake but only found out when I finished the game for the second time.
I had to do it a third time. That made me to make this solution so it will save you a lot of time.
The youtube link will give you a perfect guideline on how to go through all the levels undetected and without any kills and only using Blink.
All credits go to Red Dragon who is responsible for this perfect walkthrough.
In his videos he only does the main objectives so you don't have trouble of "Granny Rags". I read a lot of comments about Granny Rags on the internet and the trouble she gives of not killing and staying undetected but in this walkthrough this problem won't be there.
To get all these achievements you have to do it in one playthrough, no mission select option.
Off course you can save during the playthrough and I recommend to do that quite often.
There was just one big issue for me wich let me made another playthrough so keep this in mind when you get to the following point.
Between mission 2 (High Overseer Campbell) and mission 3 you'll be asked to go in to the sewer to check what's going on.
Now take your Sleep Dart Crossbow and go in to the sewers.
Once you see the 2 weepers sleep dart them. If you kill them it will not give you the achievement at the end of the game.
Also be aware that when you sleep dart them they don't fall in the water because that still count as a kill.....!
During the missions when you have to choke somebody be aware to lay him on a save spot so the rats cannot eat him and not on a roof of wich they can fell of. I also lay them on the ground with X instead of throwing with RT just to be sure you don't send them to the here after by throwing them.
Last thing I would like to mention is that if you are going for the Mostly Flesh and Steel achievement as well, don't upgrade Blink because when you, do you will not get the achievement.
With this in mind you can follow the link bellow to get all these achievements.
If you vote negative please let me know why so I can adjust this solution.
If I made some grammar mistakes just keep in mind I'm dutch
Good luck !