Yeah, if he had help from someone who knew the drill, and was driving the process, maybe I can see that. But mostly not.
Problem being, at least to my thinking, he had no way to know if someone would come looking for her in 5 minutes or 5 hours, but maybe any sec now. So I think he was in a mad rush to move her out of his possession. Which means that we still have to factor in a decent-length drive to "somewhere."
But the longest empty block of time we have to to work with was about 2:15. That's it. Time for about an hour drive each way, plus 15 mins to stop in the middle. Not a big window for ALSO doing unspeakable things to CM.