There are times when I have a question which is really really important for me but some users might consider it 'too localized" and then close it, in effect killing it for me. A disappointing situation.
Maybe the stackexchange site has little interest in it vs my own vested interest. How about letting the question live for a while like a week before it self-destructs/self-deletes? This way both parties, me and the site, are happy. I get the solution which saved my life and the site no longer keeps a question which has little interest to most users?
There are times a question is so important I would offer a bounty even if people consider it too localized.
I would like to feel that a stackexchange site is truly trying to help users and not only interested in accumulating questions of certain kinds.
While some people would suggest to me to try to edit the question to make it more general, in certain situations that's not possible because then the question will attract generic answers which will be of very little help and they will pollute the question. In addition, a more general question can also sway users to the wrong direction. I have been through this before and I ended up spending too much time telling these people, while their answer might be correct, they did not solve the problem.
Some questions need laser targeted answers.
Personally I have come across some closed "too localized" questions which were very helpful. Maybe these questions can go to some section which can still be accessible and active away from the main site and its statistics instead of killing them. Serving the long tail.