Persian Restaurants in the South Bay
Is Marina del Rey close enough? I don't know of any places in the South Bay, but I will see if I can remember the address of a place in Marina del Rey that's pretty good.
I can't remember the name of the place, but this link will give you some options across LA. :)
I came across a the card for a Persian restaurant that I went to a while ago. It's called Tajrish, and it was very good. It is in Marina del Rey, which is not quite the South Bay, but it is closer than both Westwood and Santa Monica to the South Bay.
507 Washington Blvd, Marina Del Rey, CA 90292
This is obviously too late for the OP, but Hank's Bistro in Lawndale has been doing a good job for a long time. They also serve Italian (!) food being one of the original Hank's Pizza clones. I'm stuck in a rut since I always get the fesenjon (chicken with pomegranate sauce).
14406 Hawthorne Blvd, Lawndale, CA 90260
Seaside Palace Restaurant
3720 Sepulveda Blvd, Torrance, CA 90505
422 Main St, El Segundo, CA 90245