Imadegawa is already quite a good place for an authentic experience. On nice days I used to take my bicycle and ride up to Kita-oji area. Once you are on the north side of the Tozai subway line (above karasumaoike and sanjo) you'll notice that it becomes more and more "local". For the type of experience that you are looking for, I would definitely recommend living in the Demachiyanagi area. It will be easy to go to university from there, plus easy access to Kamogawa and a direct train line to Osaka (Keihan line).
However even in places like Omiya, south of Kyoto station, etc you can feel immersed. Most tourists tend to go to Arashiyama, the castles/temples, gion and sanjo area. You do not have to go out of your way to avoid them though. You just don't have to talk to them if you don't want.
Enjoy your time in my favorite Japanese city