I just fixed three of the little devils. I used the method where you melt the solder of the stub, and give it a shove with the iron while pulling with pliers. Then replace it with a new pin shoved down from the top.

I'm not thrilled with this method. It was as much luck as skill, and could have gone Very Wrong. The main problem is you get solder in the hole just vacated by the pin, so there is much mucking about with the iron and xacto knife and a push-pin, trying to get a suitable hole to start shoving the new pin into. And all while trying to not melt the plastic into nothing, plus a real risk of burning the traces.

So what's the better method?

(In my case the traces were not burned and the 486 booted the floppy, and I am two-tails happy about that right now.)