Malpractice
I believe the most novel and best solution to malpractice is the NCPA's. But Philip Howard proposes health courts and argues that:
According to a 2006 study in the New England Journal of Medicine [gated, but with abstract], around 25 percent of cases where there was no identifiable error resulted in malpractice payments…… According to the same study, 54 cents of every dollar paid in malpractice cases goes to administrative expenses like lawyers, experts and courts.
I still like your solution better.
Any system is an improvement if it gets rid of the lawyers.
I think Shakespeare had it right.