It doesn't work that way.
The hackers don't have money, so you'll never get reimbursed for your damages.
Most hacking isn't repeated. That hacker will go away regardless, but that won't stop other hackers.
"Damage" is impossible to calculate. How much damage is lost reputation? HBGary had a nasty hack that damaged their reputation, but it also gave them a ton of publicity, so the hack may have instead helped them overall.
"Integrity of the investigation" rarely matters, because it's not that evidence that is used in trial. Instead, a lot of hackers are convicted of "conspiracy" or "intent" or "obstruction of justice" or some such nonsense. For example, the guy who stole Palin's e-mails was convicted of felony "obstruction of justice", because he deleted the evidence of the e-mail hack.
The evidence used to convict hackers usually comes from their hard drives, not yours. The police look for things like credit cards, other identity info, or child porn.