Once again, the easy and expensive answer is to print a spot color ink.
The additional expense is unappealing, though, so what else can you do? We can apply all of the principles from nightmare #1. Would black text work, for example? Maybe, although it's too bad to have to abandon that nice, deep red. Cyan or Magenta? Definitely not.
Here's a novel solution: print a dark red initial capital. It's big enough that potential registration problems won't dramatically lessen its communicative impact. The rest of the text prints in crisp, eye-friendly black. Voila!