I use a GT5542LS and the Jobu BWG-PRO with my 500/4 AF-S II. It was suggested that at a minimum you could use a 3 series. Since your lens has VR that may be a sound recommendation since VR would be the great equalizer when it comes to vibration reduction.
I have a GT3541LS and have tested it against the 5 series. The 5 series outperforms the 3 series significantly. I have placed a spreadsheet with the results, you can download it from here. Remember your lens has VR and mine does not so you may obtain good results with a series 3 and VR where I get the best out of my non VR lens with a series 5.