What would really be interesting is getting more ranked-choice voting into the mix so you can at least avoid runoff elections. Georgia, for example, would have a split delegation in the Senate had David Perdue simply be declared the winner against Jon Ossoff instead if needing the 50.1% that GA law requires to avoid a runoff.
California and Louisiana are states that come to mind as far as jungle primaries; it's usually D on D for CA and R on R for LA. What I don't understand about Louisiana is why they do the jungle primary on Election Day as opposed to primary season.