Anyone who thinks that a solution to this might be possible should be prepared to give a good answer the following question:
How does your system protect the rights of people subject to these searches in cases where law enforcement is evil?
Hint: it doesn't. And that's not a mere trivial inconvenience. It's a fatal flaw that can corrupt economies, bring down governments, wreak havoc on lives, destroy cultures, corrode societies, and crush freedom.
There's a reason Thomas Jefferson said "the price of freedom is eternal vigilance." I don't want to live in a place like today's Venezuela, Syria, China, North Korea... we should value our rights and our freedoms.