I like Bria. Nicer than Bree or Brielle, I think.
There's lots of names that rhyme with Bria - don't know if you'd like them?
Aliya, Gloria, Julia, Leah, Mia, Maria, Nia, Pia, Ria, Siya, Tia, Vittoria, Zia
Or other names that remind me of Bria are:
Alba, Ayla, Aphra, Ava, Ada, Aya, Briar, Bronte, Brynn, Bonnie, Betsy, Belle, Bella, Ciara, Carys, Cerys, Cleo, Coco, Dana, Della, Devora, Dolcie, Delphi, Effie, Etta, Enya, Efa, Edie, Elsa, Emme, Faye, Freya, Ferne, Greta, Hebe, Haven, Hazel, Heidi, Ivy, Ida, Idina, Kiki, Krista, Lena, Lila, Lyla, Lyra, Leona, Lara, Myla, Mila, Mika, Mina, Nova, Nyla, Nina, Nadia, Orla, Opal, Pearl, Pippa, Quinn, Romy, Rhiann, Rowan, Robyn, Sara, Seren, Sasha, Saffron, Sadie, Tessa, Tara, Tamara, Verity, Wren, Zara