I'd like to consider this as a "Flawless" or "Untouched" run. Basically get through the whole game without being inseminated/impregnated. (Or in easier terms: The semen, eggs, and sex counter values never go up. Not counting the sex meter because being caught and escaping compared to being caught and failing to get away are different.)
Basically like challenge runs, I honestly would find those really fun.
(I've managed to beat the public beta flawlessly because virginity is cool.) Also, I approve of the skins idea. ^.^