Great News! 
I finally managed to get it working with the help of your suggestion. (The “SetViewTargetWithBlend”)
So basically I just needed to make a new empty pawn and slave it to the AI-controlled character, then
instead of the input keybindings (that was on the character) I made custom events.
(because the key-inputs where no longer working when the character was not “the player”)
These I triggered with a reference to my character (and camera) from the pawn with a copy of my key-inputs.
Thank you for pointing me in the right direction! 