Corinne is OK. I knew a
Coral once whose name was a tweaked variant of
Carol; this put me right off, perhaps unfairly.
I know a small
Cora, named after her grandmother. It looks good on her, but anything would! Her sister is
Stella; same reason, different grandmother.
It might be a pronunciation issue. I don't like the way
Cora sounds like a noisy crow. But I don't use or hear the same sound in either
Corinne or
Coral.
I do like
Coralie a lot. It's frillier than my usual, but for some reason that doesn't matter. Dislike Coraline, though.