Boiled Linseed Oil airing out time for rags...

I'm getting ready to treat my guitar necks. Seeing so many people talk about boiled linseed oil has made me decide to try it. I know you are supposed to lay the rags or paper towels out flat after using them with boiled linseed oil or you are supposed to put them in a canister of water, but how long do they need to be laid out flat before you can just trash them? Or do they need to go into the container with water forever? I'm confused on the timing and proper disposal. I don't want a fire. I have seen the videos. I want to know the best way to handle the paper towels before I do this.