If EA's home was near where some of us think he may have been taking her to pick up spare keys, do we know if anyone was home at his home that night?
Instead of some secluded place, he could have easily said...."Oh, I forgot, I gotta run by my place first to grab something. Wont take a minute." (OR) "Hey, I got a spare doobie at my place if your interested".
While there, and depending on how secluded his neighborhood is, and depending on whether he forcefully got her inside or maybe she even voluntarily came in with him, the attack could have been right inside his place.
That would sure explain how he could clean up well enough before getting back in his car.
But for that to happen, it would have to be known that nobody was home at his place that night because i doubt he would do anything if anyone else was there.