I'm surprised as a mortgage broker, you don't have access to the MLS. I'm a downtown agent and about 99.9% of my business is in the downtown loft/condo market. Give me a call to discuss your needs. Are you looking to purchase for yourself or are you working on behalf of clients?
All the best,
Downtown LA Realty
Your best bet is to hook up with an agent and have her/him send you the listings and then updates daily.
Let me know if I can be of any assistance.