Noel,
If I can get away with it, I just wipe it out with a paper towel and a little oil. If there's crusty bits stuck to it, I keep the pan warm, pour boiling water (a good excuse to keep a cast iron kettle on your stove?) to rinse it out, then us a 'paste' of kosher salt and veg oil to scour the stuck bits with a paper towel - another quick rinse with boiling (or just good & hot) water and a quick towel off and it's back on the hook waiting for next time. By the way, kosher salt is softer than regular table salt, so it doesn't scratch the seasoning.
There are many good ways to clean CI. Try everyone's suggestions and pick which one works for you. It sounds like you know what NOT to do and that's the important part.
Welcome to WAGS!