You can always get around the block no matter what, but if the goal is to ensure that as few people as possible use Sci-Hub, using the court systems that exist

You can always get around the block no matter what, but if the goal is to ensure that as few people as possible use Sci-Hub, using the court systems that exist to have its domains seized and/or blocked would be a first step. Requiring that people use a proxy or Tor to access the site increases the barrier to entry significantly from where it is now.