What you're basically saying is bring Elli leaves along for the ride.
Here's a few more tips:
1.) Since there are two save files, save on one file BEFORE YOU LOOK FOR THE STAIRS. After finding the stairs, remember where it was and then load the file, thus staving you Stamina and Fatigue.
2.)Save on the other file BEFORE YOU GO DOWN STAIRS. This will guarantee that you will find stairs on that floor, as some floors will have no stairs going down, or none of the Cursed Tools appear on them. This is just basically a precaution.
There it is, in a nutshell.