Hrm. "The Sickness" indeed. Everyone knows that's just Pon Farr. Enterprise established that it also affects female Vulcans. Voyager also established that Vulcans can accidentally transfer the effects to non-Vulcans.
Now, I am a little surprised at the lack of Klingons. They're ordinarily quite a robust race when it comes to sexuality, and everything else. According to the non-canonical, fan made, gay friendly, Star Trek Hidden Frontier (Google it) Klingons have natural ridges.
+1 points for including Khan.
+1 points for sex on the transporter pad.