Genius idea: Schumer abolishes the filibuster when Democrats get back in power. Then, when Democrats lose the majority, he reinstates the filibuster, and changes the rules to require all future rule changes get the support of a majority of Democratic Senators(so it can't be changed back without his consent). Republicans can't do anything. Democrats come back, abolish filibuster again. Rinse and repeat.
The rules only bind the current Senate session (this is why they have to pass a rules package every session), and you can't pass a law to change to that because the constitution allows the Senate to set its own rules.