Brian,
As others are telling you, 6 months is the norm when renting an apartment through an agent, and from what I've been reading, it seems, that has been the route that has been taken by those advising you here.
I would if possible, look outside of the agency route, get Zhen to look at the classifieds in the local rag's and also on the internet to check out what's on offer there. You may have to temporally rent a serviced apartment, while your going thru your searching. One things for sure, your going to have to rely on Zhen to do all the donkey work here, and any negotiation too. The monthly ongoing apartment rentals are available, but they are going to be a lot more difficult to find.
Also ask Zhen, what she is actually looking for in the way of apartment size and facilities for this 1000RMB, as what might suit her, might not suit you. I am not joking here Brian, so be warned!! ...haha!!
David.....