Thanks all for all of the suggestions - sorry I'm just now answering but my wife was in an accident over the weekend (she is OK, car is not) and I have been dealing with that as well as a 94 year old mother with dementia that is having a bad week. So... priorities.
First of all, I apologize for not making it clear that the desire was to save the connector as well, otherwise just cutting it out and removing the pins individually would work fine. These boards are part of a legacy MIL testing system and they as well as a majority of the components are not available any more - yet, of course, the Powers-that-Be in their infinite wisdom desire them to be repaired anyway. So, trying to find a way to accomplish this while still staying within requirements. The problem with the connectors is broken pins on the mating side. The ones towards the top of the connector can be replaced however there is really no way to get to the bottom ones with the connector in place. It is possible to remove the ones above to a point but the last two - especially the bottom most one - is impossible to reinsert with the connector in place. If it was a SMT connector that would be different, but it of course isn't...
Really the only way I feel might work would be a solder bath limited to just the area with the connector pins - a machined reservoir thermally isolated from the rest of the board. It's a 180 fine pitch connector so there is also a major concern of getting it reinserted even if it could be removed and repaired. Anyway, it is not something that *has* to be made to work - it just would be a feather in the corporate (and personal) cap if we could.
Thank you all again,
Hal