I'm hoping the humans will all gather together, arm themselves to the teeth, and go to the queens' nests as kamikaze soldiers. In times of stress (war, fights, etc...) humans have a tendency of grouping together for protection and offense.
For a crisis this big, I would not be surprised if all the human civilians teamed up with their perpective armies and attacked in a massive offensive sweep. Many will die but it seems the logical choice.
I mean, that's what I would do...
~ No one is taller than the last man standing ~
~ Males conquer, females rule ~