CF, we rarely use "Navy" in our call sign, except when going into a USAF airfield - just to have fun with them.
Mostly we just say "Juliet Mike XXX." The VV is used for clarification occasionally, as it means USN. In the six years that I have been flying out of Italy I do not believe I have ever used the VV, but ATC use it sometimes when calling us.
Cheers