I found the easiest solution
Download a black picture on google Images. Make it full screen on your iMac display and lower the brightness all the way. Drag whatever you want to your external display and Enjoy.
I made this account just to answer this question for anyone who's wondering for the future.
Showing a black image isnt the same as turning a screen off. The back light will still power through the whole time and show wear if done excessively. Furthermore, showing a black image is the most straining a conventional LCD can do, since the transistors are set to absorb all the light. True, this shouldn't be too relevant for LCDs, but should absolutely be avoided for LCDs with a high light density (such as projectors).
It is a simple solution, but the result isn't ideal (unless you use an OLED panel, in that case it's virtually equivalent to turning off the screen).
edit: just noticed that this thread isn't exactly new.