Well, with a whole lot of burning smell, and a lot of sucking, I managed to remove 2 caps from my destroyable motherboard. I just put a huge blob of solder on the pin, let it set for quite a while, then sucked it away. Then I used some braid. Then while the iron was on the pin, I reached around and wiggled the cap until I could see the pin moving just a bit. Then I used the iron to push the pin mostly through. Same with the other pin. then I used the braid again to get what I could, and then I just heated up where the pin was and reached around again and wriggled out 1 pin at a time.
Then I took a sewing needle and tried working it through while the iron was on it, and that got it through and I pulled it back out. I was able to easily get the old cap pins back through the hole, so I'd say that's large enough.
I guess the remaining question is...how do I know if I've destroyed this motherboard or not (I mean other than removing the caps)? Will I know what it looks like if I "remove the trace"? The area where I was working on the motherboard had sort of a "wet" look to it, and was dirty looking. did I start melting the plastic as well? Just removing the cap is only part of the battle...the other part is not also destroying the board or the place where the cap goes back in. Sooo...how do I evaluate that, so I know if I'm doing a good job or not?