Sorry to resurrect an old thread, but I'm in a very similar scenario as the original poster. Two follow-up questions:
1) Now that it's been a few years, how has this "upgrade" worked and would you do it differently?
2) For clarification, did you affix the PTC to the doorbell chime coil or to the transformer?
Any images would be helpful of how you attached the PTC.
And for the background story, I've got a decorative (read: expensive) doorbell button that the wife loves. For whatever reason, it has gotten stuck by the typical delivery man pressing it and running off. I think I've fixed the sticking issue, and then my wife pressure washes the house, likely gets the button wet, and shorts it again. So, now after two events, I don't want this to happen yet another time for whatever reason. I like this idea of a simple fuse to protect the equipment from overheating and melting.
Thanks - mech_e