Recently, there's been an uptick in flags requesting that questions with bounties be closed. Mortals can't close these, so it's an acceptable use of the flag system.
If the bounty is brand new, it's fairly clear cut: refund the bounty, close the question.
However, if the bounty has been on the question for a while, it's likely that a few users have written answers. They probably did this because of the bounty. It doesn't seem fair to deprive them of reputation that they thought would be theirs and give it back to the asker - even though the asker did get answers in 'exchange' for their reputation.
This leads to some weird hacky 'rules', like declining flags if the bounty is more than three or four days old.
In these cases, it would be nice to have a button to 'kick' the bounty system into immediately awarding the bounty. It should go to whomever it would have if the bounty had expired 'naturally', and possibly refund if none of the answers is eligible.
This would let us give answerers credit for their work, and close questions as they come up in the moderator queue.