I'm pretty sure if you drove out of your town to a secluded country spot, changed the plates on your car, drove 100 miles to another town, parked up out of town, walked a mile in, went into a random house and slit the throat of a random person, walked out of the house, back to your car, drove back to the secluded spot, changed the plates back, and drove back to your house....
...no one would find out.