Celeste is more brown sugar and almost no berry flavor at all, really. I've had plenty of both and can firmly assert that this is a major difference between it and the 'berry flavored' figs. Celeste is sweet and figgy, if dried it has overwhelming brown sugary fig newton quality to it.
JH Adriatic, Negronne or VdB, and Sal EL/Gene will offer you awesome berry flavor and will grow readily in the south. All are dark red interior, JHA is green while the others are darker/black. Sal EL/Gene is a bit more acidic and reminds me of raspberries. JH Adriatic is like a thick, dark berry jam, as is Negronne. My VdB hasn't fruited yet, so can't comment. I'm told it's similar to Negronne.