Actually I think the best chance hangs on these two:
Congress can't meet to count the votes until after the electors have met. If one or more states are still in court disputing the slate of electors, the House can say that they haven't met.
If the House doesn't appoint and present two "tellers" then the Senate can't do anything.
Until someone files with the USSC that the House is refusing to perform their responsibility and the court orders the President of the Senate to read them out anyway.
Congress shall be in session on the sixth day of January succeeding every meeting of the electors.
Congress can't meet to count the votes until after the electors have met. If one or more states are still in court disputing the slate of electors, the House can say that they haven't met.
Two tellers shall be previously appointed on the part of the Senate and two on the part of the House of Representatives, to whom shall be handed, as they are opened by the President of the Senate, all the certificates and papers purporting to be certificates of the electoral votes ... and said tellers, having then read the same in the presence and hearing of the two Houses, shall make a list of the votes as they shall appear from the said certificates ...
If the House doesn't appoint and present two "tellers" then the Senate can't do anything.
Until someone files with the USSC that the House is refusing to perform their responsibility and the court orders the President of the Senate to read them out anyway.