You're either much cleaner, or much slower, than I am!
If you're going to oil the blade anyway, is there any reason why you can't do it before the rest of the clean up?

I'm not sure you want to bother with steel wool on your blade. I have never tried it but I have heard that wadded up aluminum foil can be an effective rust remover. If so, an advantage of it is that you can tweak its size and shape to better accommodate the spot on your blade.

Start with just the Maas and cloth and see if that is sufficient. If not, then you can move up to more aggressive strategies.