Let them know what you are looking to do. I have had success with Hospitals as well. Family members of patients that are here long term and from out of town.
I have two different answers for you here. First, Kurt was right in that HR departments of some of the larger companies such as Nike and Intel are a good place to start. Companies that are moving people around alot like Nike will be your best bet. My wife happens to work for Nike in one area of HR and I would be happy to find the right source for you if you would like.
Second, Have you thought about selling? While I will say your choice to rent is not bad right now as rents are going for a premium! I actually have a buyer from Austin, TX looking for a smaller unit... 600 to 800 square feet. He is a cash buyer who is ready to go...just nothing listed right now.(except for one unit that is overpriced) Not sure if your unit is 1 bedroom or 2 but if it is a 1 bedroom unit and prefer the price point of John Ross, please give me a call!