How do I fill these empty areas (left image) with no distortion(right image)?
I tried deleting all the faces and edges and then filling it which gave me a smooth flat surface around the holes but that method resulted in hard lines where the flat surface meets the bevel (the blue arrow), I want it to be a smooth transition (green arrow). I've tried marking that edge smooth and auto smooth with no avail. I'm having the best luck with the Subsurf modifier but I need better topology for that method to work well. Any suggestions would be appreciated, thanks!
Here's the file: