A house (not condo/apartment) in that price range, within NoHo is going to be tough. I just did a quick search of the MLS and there's one 1 active listing in the area - it's 2 bed, 2 bath, 1,292 sq ft and $2,200/mo.
If you dont mind Valley Village, I see one house on Oxnard near the 170 freeway that's $2,100/mo, 3 bed, 2 bath and 1,250 sqft.
And if you are open to townhomes or condos, there are a few more.
So, I'd agree with Cliff - search craigslist and other sites like westside rentals, since we only see what's in the MLS.
Feel free to contact me with more info about your search and I'll be happy to keep you updated as new homes come on the market.