Commodore Est'll, piracy is an economic problem, not a military one. You cannot just kill pirates to solve the problem. You just have to change conditions so that piracy is no longer profitable.
The only reason to employ a "Hunt and Kill" operation without emplacing supporting economic measures is if there is someone specific you're trying to hunt down.
Oh, you are hunting someone specific.
Sky Commodore Est'll:
Do you feel clever often?