If your card works for any internet purchases then you're good to go. I'm from Monterrey and I'm using Google's HQ address with my usual card. Voilá.
All very well trying to be clever. Might be better to use a an address in a state with no sales tax tho. I think Google is in California which is 7.25% tax?
Edit: I wonder just how many of Amazons customers live at Google or Microsoft HQ.