I’m not sure if Martin’s suggestion above will work… the question is about keeping the VA data intact; my thoughts are you can only do this at a project level. i.e. you’ll have to save and send the whole project (*.cpr) file and assets, to the other studio.
So, either do that or, if the studio has the right edition of Cubase, you could just cut your original project down to the VA track(s) only, send them over as a standalone project, and tell the studio to do a Import Tracks from project procedure. That will/should bring the VA tracks into a live project at the studio, hopefully with all the VA data in place…
I’ve not tried this.! So practice first…!!
(Or, have a look into VST Transit - https://www.steinberg.net/forums/viewforum.php?f=243 - this is exactly the situation it was designed for… how it works in real life, I don’t know.!).
Or, maybe Martin’s suggestion is completely better than any of this.!! 
Good luck,
puma