Agreed. I think that he would have had his fun with Jayme and killed her in that house, along with her parents, before the Sun came up......if it had not been for that darn pesky 911 call..... He was not gonna miss his main thrills in this crime so he took her.It’s possible that she is still alive, but the odds are against it.
Common sense says that if someone goes through all that trouble to kidnap a girl (two murders) he would keep her alive for a period of time.
In general though, that’s not how it works.
Still hope, but fading.