You better get crackin'. You might consider using an Apartment Finder service, we have those here in Dallas. Otherwise, grab the phone book and newspaper and just start calling.
I wouldn't recommend you sneak her in! I adopted a dog once from the complex where I lived. She barked all the time (how I came to own her.) The manager called me in constantly, she was very nice. She kept telling me I needed to get a nice house with a yard for Buffy. I freaked everytime she ran to the window.
My next apartment, I made sure to put a pet deposit to avoid the problems (I had a dog and a cat by then). Soon the manager informed me that no BIRDS were allowed (I had gotten a parakeet).
To much bad karma - IF they find out, it is such a hassle. Luckily now, we do have a house with a nice yard. Of course this is 20 years later.