I don't have the specific jury instructions for NH in front of me, but officers are trained to take into account the same factors for actual physical control as those listed above. It's the totality of the circumstances, but the keys in ignition/car running is frequently weighted far greater than the others, i.e. there are some cases where car running while sleeping in the passenger/rear seat (with other complicating factors like parked roadside with no way of getting there but to have driven drunk) was considered enough for physical control.
With the advent of Uber/Lyft, unless in a really remote area there are few circumstances when sleeping in the car really make sense.