I like
Adrienne a lot, and don't consider it dated. I say it basically the same way as
Adrian, though the end is more -en and less -an.
Adrian on a girl is just silly. There are so many perfectly good female versions (
Adriana,
Adrienne, Adrianna...)--why take the boys' name?
In theory I absolutely adore
Adriana, but only said ah-dree-AH-nah. Since that would be hard to enforce I'd never use it.