Raul is right. You can ride BB on a South... but.. it sucks until it's more SW.
Gusty as gusty gets when due S.

EB is probably the best on S (around here) as R. said, but if it's a beach you want, up by Upham (just south of Blind Pass) is sweet on souths.
Pretty flat and smooth, sometimes some decent waves.
A pretty good downwinder would be from there to IRB if it was S.
If it shifted more SSW, you could go even further North.