Please explain that method with more clarity for the OP, in case he doesn't understand it.
Easy outs will work as well when the outside of the die is heated up enough to expand away from the stuck case.
That press fit case, can be as strong as a weld. As often as not, a stuck case extrator will slip off the neck mouth rim.
Boil the whole thing for about half an hour and run some cold water down the center, screw in an easy out or tap and see if it will loosen up
You may have to do this a couple of times.
I've used this method and it's usually successful.
I usually pre thread the easy out or tap, which get the freezer treatement, to help cool the brass case, which will shrink from the cold, faster than steel.
Your big challenge, once you get the process sorted in your mind will be how to hold the die, while applying pressure to the tap/easyout.
I have even tapped them through the top, after removing the expander ball and stem. You need to use a brass drift for this or you will not only damage the tool but likely strip it out of the case wall.