Zvi is pronounced just like it looks. That's the glory of Hebrew names. So ZVEE.
I know an
Avi whose mn is
Zvi.
Avi Zvi. Cracks me up every time I see it.
That said, it's a neat, zippy little name.
As for combos, my first thought is
Zvi Nathaniel, which I like, so I'm sticking to it.