Fenix,
Sure, you may call it anything you want and "Practical Field Shooting" is quite appropriate but that would apply only to your shooting discipline. I have also read about the "Guerrilla Sniper Rifle" courses that Mr Gabe Suarez offers to all three casts of society, namely policemen, military and low life "civilians", exactly in that pecking order. (I don't want your thread to be locked up so I am trying very hard to be as politically correct as possible).
Now, the courses offered by Mr Suarez are quite short in duration (two or three days) and they are not - by his own admission - true "sniper" training but on the other hand, they are not what might be called Practical Rifle Shooting neither. Mr Suarez lives in the U.S. and we both live outside the U.S. - in New Zealand and Canada, respectively. He writes that most of his clients are civilians (apparently, no need for quotation marks in his country).
The closest thing that I know of to Practical Rifle Shooting is what was taught by the late Colonel Jeff Cooper at his American Pistol Institute (Gunsite) in Paulden, Arizona. Colonel Cooper was putting much more emphasis on snap shots, time constraints, different shooting positions and the use of the sling as a shooting aid and less emphasis on firing beyond three hundred yards although there was also some firing at longer range - and some clay pigeon (going straight away) shooting too with the rifle. Yeah, I know, the last part of my sentence would put any and all policemen in Canada on the lookout but Arizona is not Canada. Like Colonel Cooper once wrote, it's another country - they do things differently there ...
Anyway, all in all, I still maintain that here on CGN, you DO NOT use the expression "sniper rifle" if you are only a low life low grade "civilian". You want to be politically correct and you use the expression "precision rifle" - just like Mr Suarez wrote himself. That way, you do not invite blows to head and body - figuratively speaking, of course. No incitement to violence, please !
That being said, I can tell you that I have seen some formidable Practical Rifle Shooting from low life low grade "civilians" but they were not and are not "snipers" nor "guerilla snipers" - if that can be of any comfort to our non elected authorities.
And yes, Practical Rifle Shooting "is an incredibly fun and personally rewarding way to shoot." I agree wholeheartedly with you !