I'm not sure there is a fee which is both large enough it significantly deters bad claims while also being small enough to be different than saying nobody can afford to defend their works on the internet via DMCA given the scale. Even if you have 90% accuracy in claims if you have to put out 10,000 claims in a year that's 1 million you have to escrow with the expected loss of 100,000 despite rarely being wrong. And you may well need to do significantly more than 10,000 claims per year given the number of sites and users uploading and re-sharing content. If it were just a token value of 1 dollar or something then you're back to the largest corporations being able to file a million bogus complaints as the cost of doing business.
Absent a balanced number this would ultimately turn into another debate about the place of the DMCA itself.
Absent a balanced number this would ultimately turn into another debate about the place of the DMCA itself.