Hi,
I don't know if anyone has posted this before, but in studying Iaijutso, the art of the Japanese sword, I use Chuji oil (pure camelia oil) and cleaning paper, after every practice. Below are links for the oil and paper. This is what I have been using following my shaves to keep my razor from rusting. It is probably overkill that I do it each time, but it is part of my ritual. I just wipe it off before I strop.
Oil
Choji Oil Large Bottle
Paper
Sword Cleaning Paper