1. White hat submits a "Notice of Vulnerability Testing" document to target company (copy also sent to government body) including their information, what systems will be tested, and in what time window
2. Company is required to acknowledge the notice within X hours and grant permission or respond with a reason that the test cannot take place
3. White hat performs testing according to the plan
4. White hat discloses any findings to the company (keeping government body in the loop)
5. Company patches systems and may reward white hat at their discretion
6. Government body determines if fines should be applied and may also reward white hat at their discretion
Something like that. The white hat would have legal immunity as long as they submit the document, stick to the plan, and don't cause damage.