One thing that can be done (and, in fact, is currently being done in the Senate vis-a-vis the big spending bill, which I'll call the "Large Ludicrous Legislation" just to deny MAGA its preferred name) is to delay voting on things for as long as legally possible (in this case, by introducing amendments... even when they know the amendments will be voted down), and if it were somehow possible to get an impeachment vote through the House (yeah, not happening right now), that would compel the Senate to stop other business and deal with that, so there would still be SOME benefit....