Probably. Or ASH ( a state hospital for those adjudged incompetent for trial.)
Being drunk isn't an excuse. It just could make it negligent/accidental homicide instead of murder, depends. N/A homicide Usually means prison. I don't think you can do probation .
Unless, as said, it was truly some accident you had no part of, just were drunk. Like, you were drunk, someone drew on you, you grabbed it, it went off and killed him. That might even be self-defense.