No need to break in rimfires:
I agree with what other's have said here. I usually do the tetra-gun thing with my rimfires and then forget it save for a good cleaning every brick or so of ammo. I'd shoot about 2-500 rounds through any of the guns you mentioned before I'd trust them to do anything. As far as the Mini-14, don't expect anything spectacular in the accuracy department. I don't understand why you wouldn't want to get the barrel hot. Many people worry WAY too much about break-in, proper cleaning, etc and forget the fact that any firearm is designed to take LOTS more abuse than people dish out.
One nut brought his Marlin .22 rifle out to the shooting hole. He took the gun out of its blanket and pried the bolt up and open. He then took some brake cleaner and sprayed and worked the gun until it was smooth. As I watched, he put three consecutive rounds into the chamber and pulled the trigger only to get clicks. The fourth round went off. By this time, I was hiding behind the truck. Through an entire brick, he had maybe four or five more misfires but that was it. At the end, he stuffed the gun back in its blanet and put the gun up. I'd watched and he was picking off shotgun shell casings at 25 yards and cutting down weeds at longer distances.
Funny, I don't think this guy ever considered 'breaking in' his gun but it worked almost all the time and was just as accurate as my 10/22 was that I kept clean.