Well, the next 6 weeks just got even more exciting.
If I were a Republican strategist (I'm not) I would advise the Senate to not confirm Mr. Trump's nominee until after the election.
If the Republicans still hold either
the White House or the Senate after the election, then the Republicans should rush through the confirmation of Mr. Trump's nominee in a lame duck session.
If the Democrats claim both
the White House and the Senate this November, then the Republicans should make a deal with the Democrats to let Mr. Biden pick RBG's replacement in exchange for an agreement that the Democrats will not expand the number of justices on the Supreme Court.
Otherwise, if the Democrats hold both
the White House and Senate (and presumably also the House), there would be no way to stop them from expanding the Supreme Court to 15 justices and letting Mr. Biden pick all six new justices.