Replying to self: I just looked up
Faustina and I see it's Latin. This would make it rhyme with
Claudius,
Claudia,
Claude, etc. I think in the US, this would be Faw-steen-uh, as in
Loren. In translating anciet Latin
Claudius seems to get the Cloud-i-us (clowd-i-us) pronounciation. Again, it's probably regional.