This plan of yours pretty much shows a complete lack of understanding of how heat flows between objects that are pressed together.I was thinking maybe put them in the freezer then wrap the barrel with leather and then warm the receiver with a heat gun on low and check the temperature with a infrared thermometer to about 250 degrees Fahrenheit. And then cross my fingers
Basically...
Make a bushing that fits over the barrel and butts up against the action. Remove the big bottom screw that may be holding the barrel in place. Make a mandrel that slides in the action. Drive the barrel out.
Headspace needs to be checked after swap... The bolt should make contact with the barrel.
Not screwed in. Pressed, secured by the big bottom screw. May be pressed tight, maybe not so much. You will have to push or press the receiver off the barrel or barrel out of the receiver. Once you have pushed the good barrel into the good receiver properly indexed, you may or may not find that one or the other bolt fits. The bolts were hand fitted when installed, and not intended to be interchanged.