For the life of me I do not understand people having rust issues on razors.
All my blades in rotation are Carbon steel,I have never seen one speck of rust on any of them ever.
Just pay attn to never get the scales wet,not even the tang,is no reason to do so.Never shave with wet hands.
Rinse in hot water,dry the blade with a tissue,give it a few strops on leather,make a stand to set the razor on overnight in an open postion.Next day oil the blade with a potion of your choosing.
I use mineral oil,a roll of cotton gauze saturated with oil in a closeable plastic container has served me well for yrs.