I have the AFSII version. VR is believed not to be effective with shutter speeds faster than 1/500s and may even be counterproductive (typical advice is to turn it off at faster speeds).
Where it might come in handy for you is slow shutter speeds where you are trying to capture very motion blurred backgrounds. Or very dull dark days where you can't get the shutter speeds you'd like. But then your D4 is supposed to turn night into day .
VR is also very helpful for handheld work under 1/500s but you indicate you will be using a monopod, which I would highly recommend.
Personally I'd pay a thousand bucks for VR on that lens, but I would not pay double. I suspect a VR version would be closer to double than just another thousand (I'm not up on used prices for the VR version).
I think it would help at the margins but I don't think for your purposes it should be a game changer as long as you learn good long lens technique and practice a lot.