Bria is very unusual - I'd probably assume it was a nn for the more well known Breanna or Gabriella, but there's nothing wrong with Bria that I can see (other than people may misspell it). You might also like the similar Nia?
I tend to prefer names that are more well known but still way outside the top 100 - Claudia, Mara, Cara, Antonia, May, Eve, Thalia, Petra, Rosalind/Rosamund, Madeleine, Josephine, Juliet, Gaia, Isolde, Mireia, Marina, Nerissa, Christabel, Sylvie/Sylvia, Helena, Jessamine, Cassia are all some of the names I'm loving at the moment.