That Federal law cited in Bush v. Gore applied to presidential elections, not Senate elections.
Look, the NJSC is being ridiculous here, no doubt about it, but the USSC is not going to see irreparable harm in allowing the election to go forward. The vast majority of stupid state court decisions are not reviewed by the USSC. Florida was different due to the stakes and due to the fact that there was a clear-cut Federal law covering presidential elections.
You raise a good point about appearances (2nd time in two years ruling against the Dems), but I doubt that even the most conservative justices will want to bother with an emergency appeal on this one. It just isn't that important compared to other issues on their agenda.
The GOP should file the perfunctory appeals of course, but should concentrate its resources on winning the race.