Aerobat,
If he's non-radar there's not going to be any vectoring anyway and we don't report established over here. You're required to report leaving the FAF if you're non-radar, otherwise we look at it as a waste of radio waves. The tower can see if you're lined up if they have radar.
GF,
Why are you trying to make it so complicated? That's exactly what the AIM says, "An instrument approach wherein final approach is begun without first having executed a procedure turn..." It goes on to say it doesn't mean you'll land straight in or use straight in minimuns. I quickly went throught the ATC handbook but really didn't see much more. The only thing I saw was to include "straight in" if the controller didn't want you to execute a PT or hold.