I think
Priya is pretty (haha!). I wouldn't use it myself, but there are other Indian names I like that I'd consider like the similar sounding
Divya and, especially, Deva. I don't know that it's racially-specific though I think it would get more than few second-glances if only cause it's not really often used outside of India/Indian families. But I don't think that should be a reason not use a name.
Combos:
Priya OliviaPriya SebastiennePriya PenelopePriya JosianePriya StefaniaPriya WillowPriya JulietPriya TheresePriya EvangelinePriya MargaretPriya BelphoebePriya ArdenPriya BethanPriya Coraline
Priya AlejandraPriya Korrine
My PNL = http://www.behindthename.com/pnl/37275
Top: Henry & Lara (main) and Caspian & Briar (GP)
Bottom: Trajan & Jacoba (main) and Dinadan & Melpomene (GP)