Looking for a place to live can be very time consuming. There are several sites that list vacancies in respective cities. We update our website with available properties rather frequently. Hopefully there is something that fits your search criteria. Best of luck with your search!
That is a tight budget for Torrance. I don't think an agent can help you with that. Your best bet is to contact large apartment complex or property management companies and see what the going rate is for 1 bedrooms or studios.
Coldwell Banker Star Realty
BRE Lic #01456982