I don't presume there is a single "safe house".
In fact, I suspect that the choice of locations for the shootings is being driven by the availablility of a nearby safe haven.
I would not be surprised if the shooter actually stayed at the scene of the shooting and causally walked to a nearby motel, like an arsonist staying around to watch his handiwork.
I would hope that the police have already thought of this, and that's why I think it's unlikely. It wouldn't be difficult to cross-reference hotel bookings.