I get that it sounds similar to Eve, but that R in the beginning really changes it. (I also don't like Reese / Rhys for a girl.) I also went to college with a dude named Reeve, which gives me a very specific image of the name (and it's definitely masculine).
***
Please rate my personal name lists:
www.behindthename.com/pnl/69381www.behindthename.com/pnl/69381/117507www.behindthename.com/pnl/69381/109399hwww.behindthename.com/pnl/69381/132018http://greens-end.myminicity.com/