Haven't posted here in ages. I'm doing a repair on one of my frames so I'll show what I'm doing.
I built this frame ~15 years ago. Somewhere along the way the chainstays got crushed by the kickstand via the support plate. Not sure how that happened. I noticed the dents last year but this time I saw a crack. I chopped the plate, unbrazed the stubs, cleaned up and saw two cracks on each stays. Ouch. They have to go.
Some residual strain but not too much. I unbrazed the dropout sides and cut the chainstay stubs into quarters using a mini hacksaw. Use the cut outside the lug as a guide. You'll feel the saw glide when you hit the brass line.
Next is the unbrazing. I used some pliers to wiggle out the sections out one by one. Removing them becomes easier after the second. Some broke off inside; one piece just wouldn't come out. More work for the file.

The graveyard.