I have several ideas, to play out with imaginative people here.
1. Holidaying through europe, I could catch the eye of travelling gypsies, who snatch me and outwardly transform me into one of them.
2. Taken from my stalled car on a quiet highway by a biker gang, I'm kept by the leader as his girl, given tattoos, piercings, a new hair color and wardrobe, befitting his girl. Could also work with female bikers.
3. Helping a girl escape her pimp, I'm snatched and made to take her place.
4. As an investigative reporter, I travel to Eastern europe or the Ukraine to report on the sex trade, and end up being snatched, becoming the story rather than reporting on it.