Hi,
I will try to explain my case as specific as I can with my English skills. I have a case where I am trying to place a module containing slides from selected K2 categories, where the main slide should be 100% width and locked height and the background image of each slide should be the image from the article it displays. Then the article title and article intro should be inside of a container with the styling "width:1002px;margin:0 auto;".

I have tried to visualized it through the picture attached. What I am wondering are, is there any module that allows exactly this without any pampering or slightly modifiable?

Please help me with this one. I have tried:
SOT K2 Slideshow
Lof SlideShow for K2
Avatar K2 Slide Items
Yt K2 SlideShow II

With no luck.

You should look into mod_k2_content , just do a template override and change the display settings and modify the codes.