This is probably not a good idea, but what happens if the "badge" on the site is simply a link to a binding contract that forces the company to always fight patent lawsuits in court? No insurance or anything, a simple way of signalling that they will go to court no matter what.
(I believe there's a legal construct where a company can sign a binding contract with itself, overseen by a notary or something like that)
Now we replaced the rational actor the trolls faced, with an irrational one - the company simply can't settle, this is going to court no matter what. Trolls no longer have an incentive to sue such companies, though if they do, the company is in big trouble (though, possibly not forced to shut down).
(I believe there's a legal construct where a company can sign a binding contract with itself, overseen by a notary or something like that)
Now we replaced the rational actor the trolls faced, with an irrational one - the company simply can't settle, this is going to court no matter what. Trolls no longer have an incentive to sue such companies, though if they do, the company is in big trouble (though, possibly not forced to shut down).