It's an old and much-discussed question. Displaying my finished models is enough of an issue that it's affected my building. I just don't have the room to display all of the models in my stash, if I ever built them all. So I've slowed down significantly.
I couldn't bring myself to blow up a model I built, even when I was a kid.
But yeah, what to do with your finished models. You could also try libraries in your area, too.
Unfortunately, for many of us, and what we've built, our survivors will wind up throwing our work out.